The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Instability of bosonic topological edge states in the presence of interactions
Abstract
Topological protection holds the promise of making quantum systems more robust against decoherence and backscattering. The interaction between particles, so far mostly neglected for bosons, is here modeled by the inclusion of nonlinear effects, such as modulational instability, to show the emergence of an unstable behavior that degrades the protection.
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In the citing paper
“Lumer et al. (2016) showed that nonlinear extended edge states of the Floquet system of Rechtsman, Zeuner, Plotnik et al. (2013) are always unstable independently of the sign of their linear dispersion and the actual strength of the nonlinearity.”
From Topological photonics (2019) · cites this paper as Lumer et al., 2016
In the citing paper
“Depending on the strength of the nonlinearity, such solitons can extend over many sites along the edge or localize to a single site.”
From Topological photonics (2019) · cites this paper as Lumer et al., 2016
In the citing paper
“This modulational instability eventually leads to the breakup of the extended wave into solitonlike localized wave packets.”
From Topological photonics (2019) · cites this paper as Lumer et al., 2016
Citations
Cites
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
Self-citationObservation 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
Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
Wang, Z., Chong, Y. D., Joannopoulos, J. D., & Soljačić, M. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013905 · Cited by 1,444
Quantum-optical analogies using photonic structures
Longhi, S. (2009) · Laser & Photonics Reviews · doi:10.1002/lpor.200810055 · Cited by 718 · cited 2×
“In bosonic systems (for example, photonic systems) when local interactions are no longer negligible and there are a sufficient number of particles, the interactions can be modeled with a mean-field approach if they are strong enough, according to the Gross-Pitaevskii equation [24], also known as the cubic nonlinear Sc…”
BackgroundMethodObservation of unconventional edge states in ‘photonic graphene’
Plotnik, Y., Rechtsman, M. C., Song, D., Heinrich, M., Zeuner, J. M., Nolte, S., Lumer, Y., Malkova, N., Xu, J., Szameit, A., et al. (2014) · Nature Materials · doi:10.1038/nmat3783 · Cited by 389
Self-citationConical Diffraction and Gap Solitons in Honeycomb Photonic Lattices
Peleg, O., Bartal, G., Freedman, B., Manela, O., Segev, M., & Christodoulides, D. N. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.103901 · Cited by 378
Self-citationArtificial gauge field for photons in coupled cavity arrays
Umucalılar, R. O., & Carusotto, I. (2011) · Physical Review A · doi:10.1103/physreva.84.043804 · Cited by 300
Research works printed but not linked: 34
- 10.1103/RevModPhys.82.3045 · DOI · Paper page
- B. A. Bernevig, 2013, Topological Insulators and Topological Superconductors, 10.1515/9781400846733 · DOI · Paper page
- 10.1103/PhysRevLett.95.226801 · DOI · Paper page
- 10.1126/science.1133734 · DOI · Paper page
- 10.1126/science.1148047 · DOI · Paper page
- 10.1103/PhysRevLett.45.494 · DOI · Paper page
- 10.1103/PhysRevB.82.235114 · DOI · Paper page
- 10.1038/nphys1926 · DOI · Paper page
- 10.1103/PhysRevB.79.081406 · DOI · Paper page
- 10.1038/nphys2063 · DOI · Paper page
- 10.1038/nmat3520 · DOI · Paper page
- 10.1103/PhysRevLett.114.114301 · DOI
- 10.1364/OPTICA.2.000635 · DOI
- 10.1038/nmat4573 · DOI · Paper page
- 10.1038/nphoton.2013.274 · DOI · Paper page
- 10.1126/science.aab0239 · DOI
- 10.1073/pnas.1507413112 · DOI
- 10.1038/nature13915 · DOI · Paper page
- 10.1038/nphys3171 · DOI
- Y. Castin, 2001, Coherent Atomic Matter Waves
- 10.1016/j.physrep.2008.04.004 · DOI · Paper page
- 10.1103/PhysRevLett.111.243905 · DOI
- 10.1103/PhysRevA.90.023813 · DOI
- 10.1103/PhysRevLett.115.245302 · DOI
- 10.1038/nphoton.2012.236 · DOI · Paper page
- 10.1038/nphoton.2014.248 · DOI · Paper page
- 10.1103/RevModPhys.80.885 · DOI · Paper page
- 10.1126/science.1202307 · DOI
- 10.1103/PhysRevLett.107.216601 · DOI
- 10.1126/science.1239834 · DOI
- 10.1016/j.physd.2008.12.002 · DOI
- 10.1364/OL.13.000794 · DOI
- 10.1103/PhysRevA.46.3198 · DOI
- 10.1088/1367-2630/5/1/104 · DOI
Cited by
Sorted by citations
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
Self-citationEdge Solitons in Nonlinear-Photonic Topological Insulators
Leykam, D., & Chong, Y. D. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.143901 · Cited by 355
Metadata
- Authors
- Lumer, Y., Rechtsman, M. C., Plotnik, Y., & Segev, M.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2016-08-03
- Volume
- 94
- Issue
- 2
- ISSN
- 2469-9926
- 2469-9934
- Cited by
- 71
- References
- 7
- Language
- en
- Licence
- Funders
- United States - Israel Binational Science Foundation
- National Science Foundation (ECCS-1509546)
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- Lumer, Y., Rechtsman, M. C., Plotnik, Y., & Segev, M. (2016). Instability of bosonic topological edge states in the presence of interactions. Physical Review A. https://doi.org/10.1103/physreva.94.021801
