The DOI matches its Crossref record; 41 of the 41 references it cites were found in a registry or an index; 6 of the 22 sources its claims cite were checked for support.
Topological protection of two-photon quantum correlation on a photonic chip
Open accessAbstract
Low-decoherence regime plays a key role in constructing multi-particle quantum systems and has therefore been constantly pursued in order to build quantum simulators and quantum computers in a scalable fashion. Quantum error correction and quantum topological computing have been proved being able to protect quantumness but haven't been experimentally realized yet. Recently, topological boundary states are found inherently stable and are capable of protecting physical fields from dissipation and disorder, which inspires the application of such a topological protection on quantum correlation. Here, we present an experimental demonstration of topological protection of two-photon quantum states on a photonic chip. By analyzing the quantum correlation of photons out from the topologically nontrivial boundary state, we obtain a high cross-correlation and a strong violation of Cauchy-Schwarz inequality up to 30 standard deviations. Our results, together with our integrated implementation, provide an alternative way of protecting quantumness, and may inspire many more explorations in 'quantum topological photonics', a crossover between topological photonics and quantum information.
Overview
AI snapshot
Written from the paper’s full text.
TL;DR
The paper experimentally demonstrates topological protection of two-photon quantum correlation in a photonic chip using an off-diagonal Harper/Aubry-André lattice. Boundary-state photons retain high cross-correlation and violate the Cauchy-Schwarz inequality up to 30 standard deviations, while bulk-state photons spread and lose measurable quantum correlation.
Key findings
- In the topological boundary state, the two photons simultaneously occupy the leftmost site with probability up to 94.6%, and the outgoing probability distribution is almost confined to that site.
- The protected boundary-state cross-correlation is \(g^{(2)}_{s-i}=10.70\pm0.25\), close to the input value \(11.47\pm0.02\); the text also reports a leftmost-site value up to \(34.12\pm1.44\) compared with \(44.31\pm0.16\) before the chip.
- The boundary state violates the Cauchy-Schwarz inequality with 30.48 standard deviations (Table I; abstract says up to 30 standard deviations), whereas bulk-state sites show much smaller cross-correlations, e.g. \(g^{(2)}_{s-i}=6.37(154)\), \(5.39(69)\), \(6.66(90)\), \(4.49(73)\), with large uncertainties and no clear violation.
- Bulk-state photons spread across the lattice in a trivial quantum-walk-like manner, and the measured bulk cross-correlations are as low as about 6 with very large uncertainty, which the paper says would no longer allow derived entanglement to violate Bell inequality.
Methods
- The lattice is an off-diagonal Harper/Aubry-André model with modulation amplitude \(\lambda=0.5\), site number \(N=50\), and phase \(\phi=0.2\pi\), fabricated in borosilicate glass by femtosecond laser direct writing; photons evolve for 35 mm.
- Correlated 810 nm photon pairs are generated from a PPKTP crystal via spontaneous parametric down conversion, prepared to horizontal polarization with 25% probability, and injected into the leftmost site \(n=1\) for the boundary state or the middle site \(n=26\) for the bulk state.
- Outgoing photon distributions are measured with an ICCD camera, while cross-correlations and auto-correlations are measured with APDs after a fiber beam splitter and an FPGA counter; coincidences are recorded over 300 seconds, and the analysis uses \(g^{(2)}_{s-i}=p_{s-i}/(p_s p_i)\) and the Cauchy-Schwarz inequality \(g^{(2)}_{s-i}{}^2 \le g^{(2)}_{s-s} g^{(2)}_{i-i}\).
Limitations
- Stated: the paper says further work includes protection of quantum entanglement or implementation in higher-dimensional structures; no explicit limitations section is given.
- Evident from the text: the demonstration uses a single parameter set (\(\lambda=0.5\), \(N=50\), \(\phi=0.2\pi\)) and two-photon states, so generality across phases, lattice sizes, and higher photon numbers is not shown.
- Evident from the text: bulk-state measurements are limited by low coincidence counts and large uncertainties, making some sites difficult to measure; the reported cross-correlation values also vary between text passages and Table I, indicating dependence on pump/measurement conditions.
Model-written summary. Check it against the paper before relying on it.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
6 of 22 cited sources checked · 5 supported · 0 flagged · accuracy not yet measured
- Interpretationown data§ Topological Protection of Two-photon Quantum Correlation on a Photonic Chip
The quantum entanglement derived from the bulk-state cross-correlation will not be able to violate Bell inequality any more.
“with which a quantum entanglement derived will not be able to violate Bell inequality any more [27,28].”
Quote in the paperSubstantial claim1 of 2 sources checked- cites [27] Rechtsman, 2016, Optica source
The Figure 4 caption (p. 10) says a defect destroys the nature of photon correlations in a topologically trivial array, and the discussion (p. 2) says scattering destroys maximally spatially entangled NOON states. Our copy does not say that entanglement derived from bulk-state cross-correlations can no longer violate a Bell inequality. (LLM, conf=0.79)
Experimental — accuracy not yet measured - cites [28] Mittal, 2016, Opt. Express source
Checked before — its earlier verdict is held back until a new check runs.
- Findingown data
The calculated Floquet band structure shows two topologically nontrivial boundary modes in the gap connecting different bands.
“We can see two topologically nontrivial boundary modes in the gap connecting different bands.”
Quote in the paperSubstantial claim - Findingreasoning
For the bulk state, the photons are no longer confined in one or two sites and spread to other sites as a typical quantum walk in quasi-crystal.
“As a comparison, for the bulk state, the photons are no longer confined in one or two sites and spread to other sites as a typical quantum walk in quasi-crystal.”
Quote in the paperNot a substantial claim - Findingown data§ Topological Protection of Two-photon Quantum Correlation on a Photonic Chip
In the topologically nontrivial boundary state, the two-photon cross-correlation does not drop distinctly relative to the input.
“We observe no distinct drop of cross-correlation in boundary state.”
- Also stated in: § FIG. 2. Experimental setup. · hedged
“The cross-correlation of the protected state is 10.70 ± 0.25, apparently very close to the value of 11.47 ± 0.02 before the photonic chip.”
Quote in the paperSubstantial claim - Also stated in: § FIG. 2. Experimental setup. · hedged
- Findingown data
In the bulk state, the two photons spread across the lattice, so coincidences in a few best measurable sites are much smaller than in the topological boundary state.
“the two photons spread across the lattice, so that even the coincidences in a few best measurable sites are still much smaller than that in the topological boundary state.”
Quote in the paperSubstantial claim
- Findingown data§ Topological Protection of Two-photon Quantum Correlation on a Photonic Chip
The two photons in bulk states dissipate into many sites.
“the two photons in bulk states are found to dissipate into many sites”
- Also stated in: § FIG. 2. Experimental setup. · plain
“the two photons spread across the lattice”
Quote in the paperSubstantial claim - Also stated in: § FIG. 2. Experimental setup. · plain
- Findingown data
When quantum-correlated photon pairs are injected in the middle site, a trivial quantum walk type scenario for the bulk state is observed.
“when we inject the quantumcorrelated photon pair in the middle site, a trivial quantum walk type scenario for the bulk state is observed.”
Quote in the paperSubstantial claim - Findingown data
The outgoing photon probability distribution of the boundary state shows the photon can almost only be found in the leftmost site.
“The outgoing photon probability distribution of the boundary state is shown in Fig. 3(a-b), where the photon can almost only be found in the leftmost site.”
Quote in the paperSubstantial claim - Findingown data§ Topological Protection of Two-photon Quantum Correlation on a Photonic Chip
A few best measurable sites in the bulk state give a cross-correlation of about 6 with very large uncertainty.
“a few best measurable sites only give a cross-correlation of 6 with very large uncertainty”
- Also stated in: § FIG. 2. Experimental setup. · plain
“All the measured values are found to be as low as 6 with very large uncertainty”
Quote in the paperSubstantial claim - Also stated in: § FIG. 2. Experimental setup. · plain
- Findingown data
For the bulk state, the highest value of g(2)s-i is 15.12 ± 2.14.
“For the bulk state, the highest value of g (2) s-i we can get is 15.12 ± 2.14”
Quote in the paperNot a substantial claim - Findingown data§ Topological Protection of Two-photon Quantum Correlation on a Photonic Chip
The boundary state preserves two-photon quantum correlation, as shown by a strong violation of Cauchy-Schwarz inequality up to 30 standard deviations.
“We also verify the preservation of two-photon quantum correlation in the boundary state by measuring a strong violation of Cauchy-Schwarz inequality up to 30 standard deviations [29].”
- Also stated in: § FIG. 2. Experimental setup. · boosted
“we can observe a clear violation of Cauchy-Schwarz inequality for the protected state but not for the unprotected state.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [29] Wang, 2019, Phys. Rev. Lett. source
A check is scheduled.
- Also stated in: § FIG. 2. Experimental setup. · boosted
- Findingown data
The two photons simultaneously occupy the leftmost site with a high probability up to 94.6% in the boundary state.
“the two photons simultaneously occupy the leftmost site with a high probability up to 94.6%.”
Quote in the paperSubstantial claim - Findingreasoning
Under the restraint of the boundary state, the photons are confined in the boundary of the lattice when the system is excited in the leftmost site (n=1).
“Under the restraint of the boundary state, the photons are confined in the boundary of the lattice when the system is excited in the leftmost site (n=1).”
Quote in the paperSubstantial claim - Interpretationown data
The quantum features of the two-photon states tend to degenerate without the protection of the topological boundary state.
“It implies that the quantum features of the two-photon states tend to degenerate without the protection of topological boundary state.”
Quote in the paperSubstantial claim - Interpretationown data§ Topological Protection of Two-photon Quantum Correlation on a Photonic Chip
The paper experimentally demonstrates topological protection of two-photon quantum states/correlation on a photonic chip.
“Here, we present an experimental demonstration of topological protection of two-photon quantum states on a photonic chip.”
- Also stated in: § FIG. 2. Experimental setup. · boosted
“In summary, we experimentally demonstrate topological protection of two-photon quantum correlation on a photonic chip.”
Quote in the paperSubstantial claim - Also stated in: § FIG. 2. Experimental setup. · boosted
- Probably not a substantial claim. 8
- It may state two separate claims as one. 10
Probably not a substantial claim. It may state two separate claims as one.
Premisecitation§ Topological Protection of Two-photon Quantum Correlation on a Photonic ChipMany types of topological phases have been observed, implying the capability of protecting physical fields.
“Many types of topological phases have been observed, for instance, Hall effect [16,17], edge states [18][19][20][21], topological insulators [22,23] and Weyl points [24,25], implying the capability of protecting physical fields.”
Quote in the paperSubstantial claim5 of 8 sources checked- cites [16] Wang, 2009, Nature source
- cites [17] Hafezi, 2011, Nat. Phys. source
- cites [18] Malkova, 2009, Opt. Lett. source
- cites [19] Rechtsman, 2013, Phys. Rev. Lett. source
- cites [20] Hafezi, 2013, Nat. Photonics source
- cites [21] Kraus, 2012, Phys. Rev. Lett. source
- cites [22] Rechtsman, 2013, Nature source
- cites [23] Cheng, 2016, Nat. Mater. source
It may state two separate claims as one.
Findingown dataThe protected state shows a clear violation of Cauchy-Schwarz inequality but the unprotected state does not.
“Again, we can observe a clear violation of Cauchy-Schwarz inequality for the protected state but not for the unprotected state.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Findingown dataThe value of g(2)s-i for the leftmost site in the boundary state is up to 34.12 ± 1.44, comparable to 44.31 ± 0.16 obtained before the photonic chip.
“The value of g (2) s-i for the leftmost site in the boundary state is up to 34.12 ± 1.44, which is still comparable to 44.31 ± 0.16 obtained before the photonic chip.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Findingown dataThe cross-correlation of the protected state is 10.70 ± 0.25, close to the input value of 11.47 ± 0.02.
“The cross-correlation of the protected state is 10.70 ± 0.25, apparently very close to the value of 11.47 ± 0.02 before the photonic chip.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ Topological Protection of Two-photon Quantum Correlation on a Photonic ChipTwo-particle quantum walk can be an algorithmic tool for the graph isomorphism problem.
“two-particle quantum walk can be an algorithmic tool for the graph isomorphism problem [8]”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [8] Peruzzo, 2010, Science source
It may state two separate claims as one.
Interpretationown dataThe results extend the protection mechanism of topological phases into the quantum regime to directly protect quantum-correlated states, representing an emerging alternative way of protecting quantumness.
“Our results extend the protection mechanism of topological phases into quantum regime to directly protect quantumcorrelated states, representing an emerging and alternative way of protecting quantumness.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ Topological Protection of Two-photon Quantum Correlation on a Photonic ChipUniversal computation can be achieved by multiparticle quantum walk efficiently.
“the universal computation can be achieved by multiparticle quantum walk efficiently [9].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [9] Childs, 2013, Science source
Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisecitation§ Topological Protection of Two-photon Quantum Correlation on a Photonic ChipBoth quantum error correction and quantum topological computing are promising candidates in theoretical predictions but are still in their initial stage for experimental implementations.
“Both of them are promising candidates in theoretical predictions but are still in their initial stage for experimental implementations [10][11][12][13].”
Quote in the paperNot a substantial claim0 of 4 sources checkedProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisecitation§ Topological Protection of Two-photon Quantum Correlation on a Photonic ChipQuantum error correction is proposed to preserve logical quantum states in a subspace and rectify errors according to the measurement outcomes of ancillary particles.
“Quantum error correction is proposed to preserve logical quantum states in a subspace and rectify errors according to the measurement outcomes of ancillary particles [10,11].”
Quote in the paperNot a substantial claim0 of 2 sources checkedProbably not a substantial claim.
Premisecitation§ Topological Protection of Two-photon Quantum Correlation on a Photonic ChipTopological photonics aims to topologically protect photons from inevitable fabrication-induced dissipation and disorder.
“Topological photonics, derived from the discovery of topological phases in condensed-matter physics, aims to topologically protect photons from the inevitable fabrication-induced dissipation and disorder [14,15].”
Quote in the paperSubstantial claim0 of 2 sources checkedIt may state two separate claims as one.
Interpretationown dataThe two-photon quantum-correlated states can be well preserved in the topologically nontrivial boundary state and substantially thermalize in the bulk state.
“The measurement on the cross-correlation and the violation of Cauchy-Schwarz inequality indicate that the two-photon quantum-correlated states can be well preserved in the topologically nontrivial boundary state, and substantially thermalize in the bulk state.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ Topological Protection of Two-photon Quantum Correlation on a Photonic ChipQuantum topological computing strives to store and manipulate quantum information with topological protection in a nonlocal manner using non-Abelian anyons.
“Quantum topological computing, meanwhile, strives to store and manipulate quantum information with topological protection in a nonlocal manner using non-Abelian anyons [12].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [12] Nayak, 2008, Rev. Mod. Phys. source
It may state two separate claims as one.
Interpretationown dataThe boundary state preserves not only the photon probability but also the quantum correlation.
“That means the boundary state preserves not only the photon probability but also their quantum correlation.”
Quote in the paperSubstantial claimProbably not a substantial claim. It may state two separate claims as one.
Study design and conductreasoningThe photon flux is the same for all measurement scenarios because a polarizer was added before the half wave plate.
“We add one polarizer before the half wave plate to make sure the photon flux the same for all measurement scenarios.”
Quote in the paperSubstantial claim
The paper relies on this without support.
Topological boundary states are inherently stable and capable of protecting physical fields from dissipation and disorder.
“Recently, topological boundary states are found inherently stable and are capable of protecting physical fields from dissipation and disorder, which inspires the application of such a topological protection on quantum correlation.”
The paper relies on this without support.
Quantum error correction and quantum topological computing have been proved able to protect quantumness but have not been experimentally realized yet.
“Quantum error correction and quantum topological computing have been proved being able to protect quantumness but haven't been experimentally realized yet.”
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Bulk-state violation contradicts the stated conclusion
MinorThe text says there is no clear Cauchy-Schwarz violation for the unprotected state, but Table I reports a 4.29-standard-deviation violation for the Bulk36 site.
“Again, we can observe a clear violation of Cauchy-Schwarz inequality for the protected state but not for the unprotected state.”
“Quantity Input Boundary Bulk30 Bulk31 Bulk36 Bulk38 g (2) s-i 11.47(2) 10.70(25) 6.37(154) 5.39(69) 6.66(90) 4.49(73) g (2) s-s 2.00(2) 1.79(17) 3.90(87) 1.72(86) 1.57(47) 1.71(47) g (2) i-i 1.82(1) 1.67(50) 2.36(63) 3.01(174) 1.79(60) 2.97(121) SDs 410.42 30.48 -1.84 0.31 4.29 -0.79”
Figure 3 caption assigns the bulk image to both c and d
MinorThe caption introduces the accumulated images as panels b and c, but then identifies the bulk-state image as panel d.
“b, c, Accumulated part images of photon probability distribution over 1500 seconds of boundary state (b) and bulk state (d) obtained from ICCD.”
“d, The measured results for the outgoing photons from the bulk state.”
Different phase values given for the boundary-state lattice
MinorThe Fig. 1 caption gives the boundary-state phase as φ = 0.2, while the fabrication description gives φ = 0.2π. The text does not state that the caption uses units of π.
“the photons are injected from the boundary with φ = 0.2 (a)”
“We fabricate the lattice in a borosilicate glass using femtosecond laser direct writing technique [7,[32][33][34][35](see Methods) with phase φ = 0.2π”
Citations
Cites
Non-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332
Observation of unidirectional backscattering-immune topological electromagnetic states
Wang, Z., Chong, Y., Joannopoulos, J. D., & Soljačić, M. (2009) · Nature · doi:10.1038/nature08293 · Cited by 3,123
Writing waveguides in glass with a femtosecond laser
Davis, K. M., Miura, K., Sugimoto, N., & Hirao, K. (1996) · Optics Letters · doi:10.1364/ol.21.001729 · Cited by 2,622
Imaging topological edge states in silicon photonics
Hafezi, M., Mittal, S., Fan, J., Migdall, A., & Taylor, J. M. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.274 · Cited by 1,715
Robust optical delay lines with topological protection
Hafezi, M., Demler, E. A., Lukin, M. D., & Taylor, J. M. (2011) · Nature Physics · doi:10.1038/nphys2063 · Cited by 1,466
Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
Harper, P. G. (1955) · Proceedings of the Physical Society. Section A · doi:10.1088/0370-1298/68/10/304 · Cited by 1,416
Quantum error correction for quantum memories
Terhal, B. M. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.307 · Cited by 1,354
Topological States and Adiabatic Pumping in Quasicrystals
Kraus, Y. E., Lahini, Y., Ringel, Z., Verbin, M., & Zilberberg, O. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.106402 · Cited by 1,165
Experimental observation of Weyl points
Lu, L., Wang, Z., Ye, D., Ran, L., Fu, L., Joannopoulos, J. D., & Soljačić, M. (2015) · Science · doi:10.1126/science.aaa9273 · Cited by 1,067
Quantum Walks of Correlated Photons
Peruzzo, A., Lobino, M., Matthews, J. C. F., Matsuda, N., Politi, A., Poulios, K., Zhou, X.-Q., Lahini, Y., Ismail, N., Wörhoff, K., et al. (2010) · Science · doi:10.1126/science.1193515 · Cited by 929
Boson Sampling on a Photonic Chip
Spring, J. B., Metcalf, B. J., Humphreys, P. C., Kolthammer, W. S., Jin, X.-M., Barbieri, M., Datta, A., Thomas-Peter, N., Langford, N. K., Kundys, D., et al. (2013) · Science · doi:10.1126/science.1231692 · Cited by 837
Self-citationTillmann, M., Dakić, B., Heilmann, R., Nolte, S., Szameit, A., & Walther, P. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.102 · Cited by 709
Integrated multimode interferometers with arbitrary designs for photonic boson sampling
Crespi, A., Osellame, R., Ramponi, R., Brod, D. J., Galvão, E. F., Spagnolo, N., Vitelli, C., Maiorino, E., Mataloni, P., & Sciarrino, F. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.112 · Cited by 662
Photonic Boson Sampling in a Tunable Circuit
Broome, M. A., Fedrizzi, A., Rahimi-Keshari, S., Dove, J., Aaronson, S., Ralph, T. C., & White, A. G. (2013) · Science · doi:10.1126/science.1231440 · Cited by 634
Robust reconfigurable electromagnetic pathways within a photonic topological insulator
Cheng, X., Jouvaud, C., Ni, X., Mousavi, S. H., Genack, A. Z., & Khanikaev, A. B. (2016) · Nature Materials · doi:10.1038/nmat4573 · Cited by 618
Realization of Quantum Walks with Negligible Decoherence in Waveguide Lattices
Perets, H. B., Lahini, Y., Pozzi, F., Sorel, M., Morandotti, R., & Silberberg, Y. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.170506 · Cited by 526
Realization of quantum error correction
Chiaverini, J., Leibfried, D., Schaetz, T., Barrett, M. D., Blakestad, R. B., Britton, J., Itano, W. M., Jost, J. D., Knill, E., Langer, C., et al. (2004) · Nature · doi:10.1038/nature03074 · Cited by 517
Universal Computation by Multiparticle Quantum Walk
Childs, A. M., Gosset, D., & Webb, Z. (2013) · Science · doi:10.1126/science.1229957 · Cited by 456
Clauser, J. F. (1974) · Physical Review D · doi:10.1103/physrevd.9.853 · Cited by 367
Topological protection of biphoton states
Blanco-Redondo, A., Bell, B., Oren, D., Eggleton, B. J., & Segev, M. (2018) · Science · doi:10.1126/science.aau4296 · Cited by 322
Quantum and Classical Correlations in Waveguide Lattices
Bromberg, Y., Lahini, Y., Morandotti, R., & Silberberg, Y. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.253904 · Cited by 318
A topological source of quantum light
Mittal, S., Goldschmidt, E. A., & Hafezi, M. (2018) · Nature · doi:10.1038/s41586-018-0478-3 · Cited by 317
Experimental observation of optical Weyl points and Fermi arc-like surface states
Noh, J., Huang, S., Leykam, D., Chong, Y. D., Chen, K. P., & Rechtsman, M. C. (2017) · Nature Physics · doi:10.1038/nphys4072 · Cited by 314
Topological Creation and Destruction of Edge States in Photonic Graphene
Rechtsman, M. C., Plotnik, Y., Zeuner, J. M., Song, D., Chen, Z., Szameit, A., & Segev, M. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.103901 · Cited by 302
Observation of optical Shockley-like surface states in photonic superlattices
Malkova, N., Hromada, I., Wang, X., Bryant, G., & Chen, Z. (2009) · Optics Letters · doi:10.1364/ol.34.001633 · Cited by 284
Experimental two-dimensional quantum walk on a photonic chip
Tang, H., Lin, X.-F., Feng, Z., Chen, J.-Y., Gao, J., Sun, K., Wang, C.-Y., Lai, P.-C., Xu, X.-Y., Wang, Y., et al. (2018) · Science Advances · doi:10.1126/sciadv.aat3174 · Cited by 248
Self-citationEfficient and long-lived quantum memory with cold atoms inside a ring cavity
Bao, X., Reingruber, A., Dietrich, P., Rui, J., Dück, A., Straßel, T., Li, L., Liu, N.-L., Zhao, B., & Pan, J.-W. (2012) · Nature Physics · doi:10.1038/nphys2324 · Cited by 240
Control of directional evanescent coupling in fs laser written waveguides
Szameit, A., Dreisow, F., Pertsch, T., Nolte, S., & Tünnermann, A. (2007) · Optics Express · doi:10.1364/oe.15.001579 · Cited by 204
Quantum interference of topological states of light
Tambasco, J.-L., Corrielli, G., Chapman, R. J., Crespi, A., Zilberberg, O., Osellame, R., & Peruzzo, A. (2018) · Science Advances · doi:10.1126/sciadv.aat3187 · Cited by 145
Demonstration of a Stable Atom-Photon Entanglement Source for Quantum Repeaters
Chen, S., Chen, Y.-A., Zhao, B., Yuan, Z.-S., Schmiedmayer, J., & Pan, J.-W. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.180505 · Cited by 128
Experimental quantum fast hitting on hexagonal graphs
Tang, H., Di Franco, C., Shi, Z.-Y., He, T.-S., Feng, Z., Gao, J., Sun, K., Li, Z.-M., Jiao, Z.-Q., Wang, T.-Y., et al. (2018) · Nature Photonics · doi:10.1038/s41566-018-0282-5 · Cited by 113
Self-citationTopological protection of photonic path entanglement
Rechtsman, M. C., Lumer, Y., Plotnik, Y., Perez-Leija, A., Szameit, A., & Segev, M. (2016) · Optica · doi:10.1364/optica.3.000925 · Cited by 111
Direct Observation of Topology from Single-Photon Dynamics
Wang, Y., Lu, Y.-H., Mei, F., Gao, J., Li, Z.-M., Tang, H., Zhu, S.-L., Jia, S., & Jin, X.-M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.193903 · Cited by 98
Self-citationTunable quantum interference in a 3D integrated circuit
Chaboyer, Z. J., Meany, T., Helt, L. G., Withford, M. J., & Steel, M. J. (2015) · Scientific Reports · doi:10.1038/srep09601 · Cited by 77
Control of directional evanescent coupling in fs laser written waveguides: Erratum
Szameit, A., Dreisow, F., Pertsch, T., Nolte, S., & Tünnermann, A. (2007) · Optics Express · doi:10.1364/oe.15.008492 · Cited by 77
Topologically robust transport of entangled photons in a 2D photonic system
Mittal, S., Orre, V. V., & Hafezi, M. (2016) · Optics Express · doi:10.1364/oe.24.015631 · Cited by 60
Parity-Induced Thermalization Gap in Disordered Ring Lattices
Wang, Y., Gao, J., Pang, X.-L., Jiao, Z., Tang, H. L., Chen, Y., Qiao, L., Gao, Z.-W., Dou, J.-P., Yang, A.-L., et al. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.013903 · Cited by 25
Self-citationExperimental observation of optical Weyl points and Fermi arcs
Noh, J., Huang, S. W., Leykam, D., Chong, Y. D., Chen, K., & Rechtsman, M. C. (2017) · Conference on Lasers and Electro-Optics · doi:10.1364/cleo_qels.2017.fm3g.3 · Cited by 2
Flagged first, then by citations
Research works printed but not linked: 1
- Aubry, 1980, Ann. Isr. Phys. Soc., 3, 133
Cited by
Sorted by citations
Xie, B.-Y., Su, G., Wang, H., Su, H. L., Shen, X., Zhan, P., Lu, M., Wang, Z., & Chen, Y. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.233903 · Cited by 597
Higher-order quantum spin Hall effect in a photonic crystal
Xie, B., Su, G., Wang, H., Liu, F., Hu, L., Yu, S., Zhan, P., Lu, M., Wang, Z., & Chen, Y. (2020) · Nature Communications · doi:10.1038/s41467-020-17593-8 · Cited by 235
Topologically Protected Valley-Dependent Quantum Photonic Circuits
Chen, Y., He, X., Cheng, Y., Qiu, H.-Y., Feng, L., Zhang, M., Daoxin Dai, A., Guo, G., Dong, J., & Ren, X. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.230503 · Cited by 158
Topological edge states of interacting photon pairs emulated in a topolectrical circuit
Olekhno, N. A., Kretov, E. I., Stepanenko, A. A., Ivanova, P. A., Yaroshenko, V. V., Puhtina, E. M., Filonov, D., Cappello, B., Matekovits, L., & Gorlach, M. A. (2020) · Nature Communications · doi:10.1038/s41467-020-14994-7 · Cited by 152
Femtosecond laser micromachining for integrated quantum photonics
Corrielli, G., Crespi, A., & Osellame, R. (2021) · Nanophotonics · doi:10.1515/nanoph-2021-0419 · Cited by 130
Topologically protected quantum entanglement emitters
Dai, T., Ao, Y., Bao, J., Mao, J., Chi, Y., Fu, Z., You, Y., Chen, X., Zhai, C., Tang, B., et al. (2022) · Nature Photonics · doi:10.1038/s41566-021-00944-2 · Cited by 119
Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
Jiao, Z., Longhi, S., Wang, X., Gao, J., Zhou, W., Wang, Y., Fu, Y.-X., Wang, L., Ren, R.-J., Qiao, L., et al. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.147401 · Cited by 108
Self-citationCavity Quantum Electrodynamics with Second‐Order Topological Corner State
Xie, X., Zhang, W., He, X., Wu, S., Dang, J., Peng, K., Song, F., Yang, L., Ni, H., Niu, Z., et al. (2020) · Laser & Photonics Review · doi:10.1002/lpor.201900425 · Cited by 99
Topological metasurface: from passive toward active and beyond
You, J. W., Lan, Z., Ma, Q., Gao, Z. L., Yang, Y., Gao, F., Xiao, M., & Cui, T. J. (2022) · Photonics Research · doi:10.1364/prj.471905 · Cited by 93
Realization of Anomalous Floquet Insulators in Strongly Coupled Nanophotonic Lattices
Afzal, S., Zimmerling, T. J., Ren, Y., Perron, D., & Van, V. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.253601 · Cited by 86
Yan, Q., Hu, X., Fu, Y., Lu, C., Fan, C., Liu, Q., Feng, X., Sun, Q., & Gong, Q. (2021) · Advanced Optical Materials · doi:10.1002/adom.202001739 · Cited by 79
Coupling between Exciton-Polariton Corner Modes through Edge States
Banerjee, R., Mandal, S., & Liew, T. C. H. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.063901 · Cited by 73
Topology and Interactions in the Photonic Creutz and Creutz‐Hubbard Ladders
Zurita, J., Creffield, C. E., & Platero, G. (2019) · Advanced Quantum Technologies · doi:10.1002/qute.201900105 · Cited by 72
Tunable quantum interference using a topological source of indistinguishable photon pairs
Mittal, S., Orre, V. V., Goldschmidt, E. A., & Hafezi, M. (2021) · Nature Photonics · doi:10.1038/s41566-021-00810-1 · Cited by 69
Advances and applications on non‐Hermitian topological photonics
Yan, Q., Zhao, B., Zhou, R., Ma, R., Lyu, Q., Chu, S., Hu, X., & Gong, Q. (2023) · Nanophotonics · doi:10.1515/nanoph-2022-0775 · Cited by 67
Topological photonics: Fundamental concepts, recent developments, and future directions
Mehrabad, M. J., Mittal, S., & Hafezi, M. (2023) · Physical Review A · doi:10.1103/physreva.108.040101 · Cited by 66
On-chip topological nanophotonic devices
Lu, C., Yuan, H., Zhang, H., Zhao, W. D., Zhang, N., Zheng, Y., Elshahat, S., & Liu, Y. (2022) · Chip · doi:10.1016/j.chip.2022.100025 · Cited by 65
Topological wave insulators: a review
Zangeneh‐Nejad, F., Alù, A., & Fleury, R. (2020) · Comptes Rendus Physique · doi:10.5802/crphys.3 · Cited by 56
Asymmetric topological pumping in nonparaxial photonics
Cheng, Q., Wang, H., Ke, Y., Chen, T., Yu, Y., Kivshar, Y. S., Lee, C., & Pan, Y. (2022) · Nature Communications · doi:10.1038/s41467-021-27773-9 · Cited by 52
Topologically Protected Polarization Quantum Entanglement on a Photonic Chip
Wang, Y., Lu, Y., Gao, J., Chang, Y.-J., Ren, R.-J., Jiao, Z., Zhang, Z.-Y., & Jin, X. (2022) · Chip · doi:10.1016/j.chip.2022.100003 · Cited by 51
Self-citationTopological Nanophotonics: Toward Robust Quantum Circuits
Blanco‐Redondo, A. (2019) · Proceedings of the IEEE · doi:10.1109/jproc.2019.2939987 · Cited by 45
Chiral topological add–drop filter for integrated quantum photonic circuits
Mehrabad, M. J., Foster, A. P., Martin, N. J., Dost, R., Clarke, E., Patil, P., Skolnick, M. S., & Wilson, L. R. (2023) · Optica · doi:10.1364/optica.481684 · Cited by 45
Topological Photonic States in Waveguide Arrays
Kang, J., Wei, R., Zhang, Q., & Dong, G. (2022) · Advanced Physics Research · doi:10.1002/apxr.202200053 · Cited by 41
Topological excitations and bound photon pairs in a superconducting quantum metamaterial
Besedin, I. S., Gorlach, M. A., Abramov, N. N., Tsitsilin, I., Moskalenko, I. N., Dobronosova, A. A., Moskalev, D. O., Matanin, A. R., Smirnov, N. S., Rodionov, I. A., et al. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.224520 · Cited by 41
Tschernig, K., Jiménez-Galán, Á., Christodoulides, D. N., Ivanov, M., Busch, K., Bandres, M. A., & Pérez-Leija, A. (2021) · Nature Communications · doi:10.1038/s41467-021-22264-3 · Cited by 41
Observation of edge-to-edge topological transport in a photonic lattice
Liu, W., Wu, C., Jia, Y., Jia, S., Chen, G., & Chen, F. (2022) · Physical Review A · doi:10.1103/physreva.105.l061502 · Cited by 39
Chen, Y., Chen, X., Ren, X., Gong, M., & Guo, G. (2021) · Physical Review A · doi:10.1103/physreva.104.023501 · Cited by 37
Quantum Topological Boundary States in Quasi‐Crystals
Wang, Y., Lu, Y., Gao, J., Sun, K., Jiao, Z., Tang, H. L., & Jin, X. (2019) · Advanced Materials · doi:10.1002/adma.201905624 · Cited by 36
Self-citationFast correlated-photon imaging enhanced by deep learning
Li, Z., Wu, S., Gao, J., Zhou, H., Yan, Z., Ren, R.-J., Yin, S., & Jin, X. (2021) · Optica · doi:10.1364/optica.408843 · Cited by 36
Self-citationHe, L., Zhang, H., Zhang, W., Wang, Y., & Zhang, X. (2021) · New Journal of Physics · doi:10.1088/1367-2630/ac20eb · Cited by 36
Self-citationObservation of Square‐Root Higher‐Order Topological States in Photonic Waveguide Arrays
Kang, J., Liu, T., Yan, M., Yang, D., Huang, X., Wei, R., Qiu, J., Dong, G., Yang, Z., & Nori, F. (2023) · Laser & Photonics Review · doi:10.1002/lpor.202200499 · Cited by 36
Li, M., Li, C., Yan, L., Li, Q., Gong, Q., & Li, Y. (2023) · Light Science & Applications · doi:10.1038/s41377-023-01307-y · Cited by 35
Topologically protecting squeezed light on a photonic chip
Ren, R.-J., Lu, Y., Jiang, Z.-K., Gao, J., Zhou, W., Wang, Y., Jiao, Z., Wang, X., Solntsev, A. S., & Jin, X. (2021) · Photonics Research · doi:10.1364/prj.445728 · Cited by 32
Self-citationWang, L., Chen, Y., Gong, M., Yu, F., Chen, Q., Tian, Z., Ren, X., & Sun, H. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.173601 · Cited by 32
Quantum topological photonics with special focus on waveguide systems
Gao, J., Xu, Z.-S., Yang, Z., Zwiller, V., & Elshaari, A. W. (2024) · npj Nanophotonics · doi:10.1038/s44310-024-00034-5 · Cited by 29
Self-citationHashemi, A., Zakeri, M. J., Jung, P. S., & Blanco‐Redondo, A. (2025) · APL Photonics · doi:10.1063/5.0239265 · Cited by 29
Topological effects in integrated photonic waveguide structures [Invited]
Kremer, M., Maczewsky, L. J., Heinrich, M., & Szameit, A. (2021) · Optical Materials Express · doi:10.1364/ome.414648 · Cited by 27
Interaction-induced topological states of photon pairs
Stepanenko, A. A., & Gorlach, M. A. (2020) · Physical Review A · doi:10.1103/physreva.102.013510 · Cited by 27
A topological nonlinear parametric amplifier
Sohn, B., Huang, Y.-X., Choi, J. W., Chen, G. F. R., Ng, D. K. T., Yang, S. A., & Tan, D. T. H. (2022) · Nature Communications · doi:10.1038/s41467-022-34979-y · Cited by 24
Topologically protected entanglement switching around exceptional points
Tang, Z., Chen, T., Tang, X., & Zhang, X. (2024) · Light Science & Applications · doi:10.1038/s41377-024-01514-1 · Cited by 23
Symmetry-Induced Error Filtering in a Photonic Lieb Lattice
Chang, Y.-J., Lu, Y., Wang, Y., Xu, X.-Y., Zhou, W.-H., Cui, W.-H., Wang, X., Gao, J., Qiao, L., & Jin, X. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.110501 · Cited by 22
Self-citationProgrammable quantum circuits in a large-scale photonic waveguide array
Yang, Y., Chapman, R. J., Youssry, A., Haylock, B., Lenzini, F., Lobino, M., & Peruzzo, A. (2025) · npj Quantum Information · doi:10.1038/s41534-024-00934-6 · Cited by 21
Experimental topological photonic superlattice
Wang, Y., Lu, Y., Gao, J., Chang, Y.-J., Tang, H. L., & Jin, X. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.014110 · Cited by 20
Self-citationConstructing higher-order topological states in higher dimensions
Wang, Y., Ke, Y., Chang, Y.-J., Lu, Y., Gao, J., Lee, C., & Jin, X. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.224303 · Cited by 20
Self-citationZhang, Y., Li, Z., Xu, S., & Xiang, Y. (2021) · Annalen der Physik · doi:10.1002/andp.202100293 · Cited by 20
Higher-order topological biphoton corner states in two-dimensional photonic lattices
Li, C., Li, M., Yan, L., Ye, S., Hu, X., Gong, Q., & Li, Y. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.023049 · Cited by 19
Topological protection of continuous frequency entangled biphoton states
Jiang, Z., Ding, Y., Xi, C., He, G., & Jiang, C. (2021) · Nanophotonics · doi:10.1515/nanoph-2021-0371 · Cited by 19
Topologically Protected Strong Coupling and Entanglement Between Distant Quantum Emitters
Wang, Y., Ren, J., Zhang, W., He, L., & Zhang, X. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.14.054007 · Cited by 17
Self-citationTan, D. T. H. (2021) · Advanced Photonics Research · doi:10.1002/adpr.202100010 · Cited by 17
Observation of Anderson phase in a topological photonic circuit
Gao, J., Xu, Z.-S., Smirnova, D. A., Leykam, D., Gyger, S., Zhou, W., Steinhauer, S., Zwiller, V., & Elshaari, A. W. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.033222 · Cited by 16
Self-citationWang, B. X., & Zhao, C. Y. (2020) · Journal of Applied Physics · doi:10.1063/1.5131185 · Cited by 16
Topological quantum optical states in quasiperiodic cold atomic chains
Wang, B., & Zhao, C. (2021) · Physical Review A · doi:10.1103/physreva.103.013727 · Cited by 12
He, Y., Gao, Y., Lin, H.-Z., Jin, M., He, Y. J., & Qi, X. (2022) · Optics Communications · doi:10.1016/j.optcom.2022.128038 · Cited by 12
Nonreciprocal generation of Schrödinger cat state induced by topology
Li, Z., Zheng, L., Wu, Y., & Lü, X. (2023) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-023-2301-2 · Cited by 11
Wang, B., Tang, Z., Chen, T., & Zhang, X. (2022) · Laser & Photonics Review · doi:10.1002/lpor.202100519 · Cited by 11
Topologically protected energy-time entangled biphoton states in photonic crystals
Jiang, Z., Xi, C., He, G., & Jiang, C. (2022) · Journal of Physics D Applied Physics · doi:10.1088/1361-6463/ac6f2d · Cited by 9
Topologically protected long-range coherent energy transfer
Wang, Y., Ren, J., Zhang, W., He, L., & Zhang, X. (2020) · Photonics Research · doi:10.1364/prj.403279 · Cited by 9
Self-citationHigher-Order Topological Phase of Interacting Photon Pairs
Stepanenko, A. A., Lyubarov, M. D., & Gorlach, M. A. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.213903 · Cited by 9
Transmission and transformation of entangled states with high fidelity in a non-Hermitian system
Tang, Z., Wang, B., Chen, T., & Zhang, X. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.043144 · Cited by 8
Biphoton topology in a quadratic nonlinear waveguide array under the Su-Schrieffer-Heeger model
Yang, Y. H., Zuo, Z.-W., & Cao, D. (2021) · Physical Review A · doi:10.1103/physreva.104.043710 · Cited by 8
Observing movement of Dirac cones from single-photon dynamics
Lu, Y.-H., Wang, Y., Chang, Y.-J., Li, Z.-M., Cui, W.-H., Gao, J., Zhou, W.-H., Zheng, H., & Jin, X.-M. (2021) · Physical Review B · doi:10.1103/physrevb.103.064304 · Cited by 7
“The elements of single-photon dynamics and their protection in the honeycomb lattices may inspire developing entirely new capacities of engineering quantum states in the different artificial structures, especially topological-protected mechanics [43–45].”
BackgroundSelf-citationReal-space observation of topological invariants in 2D photonic systems
Lu, Y., Wang, Y., Mei, F., Chang, Y.-J., Gao, J., Zheng, H., Jia, S., & Jin, X. (2020) · Optics Express · doi:10.1364/oe.399893 · Cited by 7
Self-citationFeynmanPAQS: a graphical interface program for photonic analog quantum computing
Tang, H. L., Xu, X.-J., Zhu, Y., Gao, J., Chen, X., Lee, M., Lai, P.-C., & Jin, X. (2022) · Optical Engineering · doi:10.1117/1.oe.61.8.081804 · Cited by 7
Self-citationMultistage quantum swapping of vacuum-one-photon entanglement
Qiao, L., Jiao, Z., Xu, X.-Y., Gao, J., Zhang, Z.-Y., Ren, R.-J., Zhou, W., Wang, X., & Jin, X. (2021) · Physical Review A · doi:10.1103/physreva.104.022415 · Cited by 6
Self-citationDirect Observation of a Localized Flat-Band State in a Mapped Moiré Hubbard Photonic Lattice
Lin, H., Lu, Y., Chang, Y.-J., Yang, Y., & Jin, X. (2022) · Physical Review Applied · doi:10.1103/physrevapplied.18.054012 · Cited by 6
Self-citationAsymmetric pumping of topological non-Hermitian photonic lattice without inversion symmetry
Lu, Y., Huang, Z., & Chen, Y. (2024) · Physics Letters A · doi:10.1016/j.physleta.2024.130105 · Cited by 5
Self-citationRuiqi, 王. W., Yuliang, 唐. T., & Li, Y. (2025) · Laser & Optoelectronics Progress · doi:10.3788/lop250995 · Cited by 5
Topological Photonics (Brief Review)
Ustinov, A. S., Shorokhov, A. S., & Smirnova, D. A. (2021) · Journal of Experimental and Theoretical Physics Letters · doi:10.1134/s0021364021240012 · Cited by 5
Symmetry-Related Topological Phases and Applications: From Classical to Quantum Regimes
Zhang, R., & Chen, T. (2024) · Symmetry · doi:10.3390/sym16121673 · Cited by 5
Topological States in Qubit Arrays Induced by Density-Dependent Coupling
Stepanenko, A. A., Lyubarov, M. D., & Gorlach, M. A. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.14.064040 · Cited by 5
Quantum metrology via adiabatic control of topological edge states
Anonymous, Shi, A., Liu, J., & Gong, J. (2026) · Physical Review A · doi:10.1103/5qsb-t9rf · Cited by 4
N-band photonic Hopf insulators based on 2D microring lattices
Leng, B., & Van, V. (2022) · Optics Letters · doi:10.1364/ol.471454 · Cited by 4
Research progress of integrated photonic quantum simulation
Chen, Y., Zhang, T., Guo, G., & Ren, X. (2022) · Acta Physica Sinica · doi:10.7498/aps.71.20221938 · Cited by 4
Ruiqi, 王. W., Chu, 李. L., & Li, Y. (2024) · Acta Optica Sinica · doi:10.3788/aos241040 · Cited by 4
Disorder robust, ultra‐low power, continuous‐wave four‐wave mixing in a topological waveguide
Choi, J. W., Sohn, B., Chen, G. F. R., Gao, H., Mitchell, W. J., Ng, D. K. T., & Tan, D. T. H. (2025) · Nanophotonics · doi:10.1515/nanoph-2024-0659 · Cited by 4
Topological π / 2 modes in photonic waveguide arrays
Jiang, G., Zhang, S., Zhu, W., Zhao, Y. X., & Xue, H. (2025) · Physical Review A · doi:10.1103/physreva.111.043527 · Cited by 4
Topologically protecting quantum resources with sawtooth lattices
Zhou, W., Wang, X., Gao, J., Lu, Y., Jiao, Z., Ren, R.-J., Yang, T.-H., Chang, Y.-J., & Jin, X. (2021) · Optics Letters · doi:10.1364/ol.418488 · Cited by 4
Self-citationObservation of temporal optical solitons in a topological waveguide
Choi, J. W., Sohn, B., Gao, H., Chen, G. F. R., Goh, J. S., Ng, D. K. T., & Tan, D. T. H. (2024) · Scientific Reports · doi:10.1038/s41598-024-79219-z · Cited by 3
Quantum signatures of the topological phase in bosonic quadratic systems
Li, Y., & Liu, Y. (2023) · Physical Review A · doi:10.1103/physreva.108.062405 · Cited by 3
Enhancement of Stokes–anti-Stokes correlations by the classical incoherent incident light
Shishkov, V. Y., Andrianov, E. S., Pukhov, A., & Vinogradov, A. P. (2021) · Physical Review A · doi:10.1103/physreva.103.013514 · Cited by 3
Hyperbolic Topological Quantum Sources
He, L., Huang, L., Zhang, W., Liu, D., Zhang, H., Feng, X., Liu, F., Cui, K., Huang, Y., Zhang, W., et al. (2025) · Advanced Science · doi:10.1002/advs.202417708 · Cited by 3
Minhan, 楼. L., & Dezhi, 谭. T. (2024) · Chinese Journal of Lasers · doi:10.3788/cjl231385 · Cited by 2
Programmable Photonic Waveguide Arrays: Opportunities and Challenges
Yang, Y., Youssry, A., & Peruzzo, A. (2026) · ACS Photonics · doi:10.1021/acsphotonics.5c02901 · Cited by 2
Topological band optimization of nested photonic crystals based on deep learning
Peng, P., Chen, Z.-H., Wang, Y., Shi, A., Ning, J., Wang, Z., Liu, E., & Liu, J. (2025) · Journal of Applied Physics · doi:10.1063/5.0273621 · Cited by 2
Self-citationTailoring quantum walks in integrated photonic lattices
Raymond, A., Cathala, P., Morassi, M., Lemaître, A., Raineri, F., Ducci, S., & Baboux, F. (2025) · Optics Express · doi:10.1364/oe.571522 · Cited by 1
Yang, Y. H., & Cao, D. (2022) · Optics Express · doi:10.1364/oe.471703 · Cited by 1
Hongwei, 王. W., Lu, 孙. S., Yong, 张. Z., Yuan, L., Dong, J., & Yikai, 苏. S. (2024) · Laser & Optoelectronics Progress · doi:10.3788/lop241585 · Cited by 1
Topological Hong-Ou-Mandel interference via compact edge modes
Guo, S., Yang, C., Chuang, J., LI, J., Ke, S., & Tian, Z.-N. (2026) · Optics Letters · doi:10.1364/ol.587730 · Cited by 1
Research progress of integrated optical quantum computing
Zhou, W., Wang, Y., Weng, W.-K., & Jin, X. (2022) · Acta Physica Sinica · doi:10.7498/aps.71.20221782 · Cited by 1
Self-citationWang, L., Chen, Y., Tian, Z., Wang, Y., Ren, X., & Chen, Q. (2023) · Optics Letters · doi:10.1364/ol.493113 · Cited by 1
Self-citationObserving multifarious topological phase transitions with real‐space indicator
Lu, Y., Wang, Y., Mei, F., Chang, Y., Zheng, H., Jia, S., & Jin, X. (2021) · Nanophotonics · doi:10.1515/nanoph-2021-0559
Self-citationA topological optical parametric amplifier on a CMOS-chip
Sohn, B., Huang, Y.-X., Choi, J. W., Chen, G. F. R., Ng, D. K. T., Yang, S. A., & Tan, D. T. H. (2023) · Nonlinear Optics · doi:10.1364/nlo.2023.w2a.3
Liu, S., Qian, Y., Li, D., Sun, L., Zhu, Y., & Lin, Y. (2024) · Advanced Fiber Laser Conference (AFL) · doi:10.1117/12.3022787
Intrication en modes spatiaux dans des circuits photoniques semiconducteurs
Raymond, A. (2023) · theses.fr (ABES) · doi:10.70675/d60f8f01z8847z40a0z8f23z7d14adfab430
Chen, X.-M., Xu, Y. D., & Wang, C. (2024) · Physical Review A · doi:10.1103/physreva.110.043712
Landau-Zener-Stückelberg interference in edge state pumpingPreprint
Liu, Y., Lin, X., & Gong, M. (2024) · arXiv (Cornell University) · doi:10.48550/arxiv.2408.01629
Recent Progress in Semiconductor-based Valley Photonic Crystal Waveguides
Iwamoto, S. (2025) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.94.101001
Exploration of localization physics with atomic, molecular, and optical platforms
Gao, J., Li, H., Zwiller, V., & Elshaari, A. W. (2026) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/ae6aee
Self-citationObservation of π / 3 and 2 π / 3 modes in an acoustic Floquet system
Cheng, Z.-B., Sun, H.-X., Yuan, S.-Q., Cheng, Z., & Zhang, B. (2026) · Physical review. B./Physical review. B · doi:10.1103/k7y2-13x5
Global topological protection of entanglement in integrated photonic quantum walks
Anonymous, Plotnik, Y., Palatnik, A., Lyubarov, M. D., Segal, O., Oz, Y., & Segev, M. (2026) · Physical Review Research · doi:10.1103/3nkp-m3w3
Metadata
- Authors
- Wang, Y., Pang, X.-L., Lu, Y.-H., Gao, J., Chang, Y.-J., Qiao, L.-F., Jiao, Z.-Q., Tang, H., & Jin, X.-M.
- Affiliations
- Shanghai Jiao Tong University (CN)
- ORCID
- Venue
- Optica
- Publisher
- Optica Publishing Group
- Published
- 2019-07-25
- Volume
- 6
- Issue
- 8
- Pages
- 955
- ISSN
- 2334-2536 (ISSN-L)
- OpenAlex
- W2963116858
- Cited by
- 102
- References
- 41
- Citations by year
- 2026: 8 · 2025: 9 · 2024: 11 · 2023: 10 · 2022: 22 · 2021: 26 · 2020: 12 · 2019: 4
- FWCI
- 7.20
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Optica (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Figshare (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- National Natural Science Foundation of China (NSFC) (11690033, 11761141014, 61734005)
- National Key RD Program of China (2017YFA0303700)
- Science and Technology Commission of Shanghai Municipality (STCSM) (15QA1402200, 16JC1400405, 17JC1400403)
- Shanghai Municipal Education Commission (SMEC) (16SG09, 2017-01-07-00-02-E00049)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- topological protection, topological boundary states, integrated photonics, Cauchy-Schwarz inequality violation, cross correlation function, quantum error correction, topological photonics, quantum simulation
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
A language model drew the claims from the paper on 2026-11-10, under version 3 of the claim definition (model deepseek-v4.1-flash, prompt extract-v3).
A second model labelled each claim on 2026-11-10 (model jev-1.13-20260917, definition revision gold-guideline-v0.2).
Cited sources are checked with a language model’s help (gpt-6-sol).
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
