Cited by 195Metamaterials and Metasurfaces ApplicationsQuantum Information and CryptographyPhotorefractive and Nonlinear Optics

Spatially entangled photon pairs from lithium niobate nonlocal metasurfaces

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Zhang, Jihua, Ma, Jinyong, Parry, Matthew, Cai, Marcus, Camacho-Morales, Rocio, Xu, Lei, Neshev, Dragomir N., Sukhorukov, Andrey A.·2022·Science Advances

Abstract

Metasurfaces consisting of nanoscale structures are underpinning new physical principles for the creation and shaping of quantum states of light. Multiphoton states that are entangled in spatial or angular domains are an essential resource for many quantum applications; however, their production traditionally relies on bulky nonlinear crystals. We predict and demonstrate experimentally the generation of spatially entangled photon pairs through spontaneous parametric down-conversion from a metasurface incorporating a nonlinear thin film of lithium niobate covered by a silica meta-grating. We measure the correlations of photon pairs and identify their spatial antibunching through violation of the classical Cauchy-Schwarz inequality, witnessing the presence of multimode entanglement. Simultaneously, the photon-pair rate is strongly enhanced by 450 times as compared to unpatterned films because of high-quality-factor resonances. These results pave the way to miniaturization of various quantum devices by incorporating ultrathin metasurfaces functioning as room temperature sources of quantum-entangled photons.

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  • All-dielectric metasurfaces exhibit much lower loss and higher damage thresholds compared to plasmonic counterparts.

    “all-dielectric metasurfaces exhibit much lower loss and higher damage thresholds”

    From Inverse Design of an All-Dielectric Nonlinear Polaritonic Metasurface. (2025) · cites this paper as [11]

    The Results section describes a dielectric meta-grating and reports its optical resonance and nonlinear enhancement, but does not compare its loss or damage threshold with plasmonic metasurfaces. Searches for lower loss and higher damage thresholds found no passage addressing those comparisons; page numbers were not available in our copy. (LLM, conf=0.73)

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  1. [2]Y. H. Shih, Quantum imaging. IEEE J. Sel. Top. Quantum Electron. 13, 1016– 1030 (2007).
  2. [4]C. H. Bennett, D. P. DiVincenzo, Quantum information and computation. Nature 404, 247– 255 (2000). 10749200
  3. [6]K. W. Chan, J. P. Torres, J. H. Eberly, Transverse entanglement migration in Hilbert space. Phys. Rev. A 75, 050101 (2007).
  4. [7]F. Just, A. Cavanna, M. V. Chekhova, G. Leuchs, Transverse entanglement of biphotons. New J. Phys. 15, 083015 (2013).
  5. [8]A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, Entanglement of the orbital angular momentum states of photons. Nature 412, 313– 316 (2001). 11460157
  6. [9]C. K. Law, J. H. Eberly, Analysis and interpretation of high transverse entanglement in optical parametric down conversion. Phys. Rev. Lett. 92, 127903 (2004). 15089711
  7. [10]J. P. Torres, A. Alexandrescu, L. Torner, Quantum spiral bandwidth of entangled two-photon states. Phys. Rev. A 68, 050301 (2003).
  8. [11]V. D. Salakhutdinov, E. R. Eliel, W. Löffler, Full-field quantum correlations of spatially entangled photons. Phys. Rev. Lett. 108, 173604– 173605 (2012). 22680866
  9. [12]C. Okoth, E. Kovlakov, F. Bonsel, A. Cavanna, S. Straupe, S. P. Kulik, M. V. Chekhova, Idealized Einstein-Podolsky-Rosen states from non-phase-matched parametric down-conversion. Phys. Rev. A 101, 011801 (2020).
  10. [13]T. Huang, X. Zhao, S. Zeng, A. Crunteanu, P. P. Shum, N. Yu, Planar nonlinear metasurface optics and their applications. Rep. Prog. Phys. 83, 126101 (2020). 33290268
  11. [14]C. De Angelis, G. Leo, D. N. Neshev, Nonlinear Meta-Optics (CRC Press, 2020), p. 344.
  12. [16]A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, B. Luk’yanchuk, Optically resonant dielectric nanostructures. Science 354, aag2472 (2016). 27856851
  13. [18]T. Santiago-Cruz, A. Fedotova, V. Sultanov, M. A. Weissflog, D. Arslan, M. Younesi, T. Pertsch, I. Staude, F. Setzpfandt, M. Chekhova, Photon pairs from resonant metasurfaces. Nano Lett. 21, 4423– 4429 (2021). 33971095 PMC8289292
  14. [19]M. Parry, A. Mazzanti, A. Poddubny, G. Della Valle, D. N. Neshev, A. A. Sukhorukov, Enhanced generation of nondegenerate photon pairs in nonlinear metasurfaces. Adv. Photon. 3, 055001 (2021).
  15. [20]B. Jin, D. Mishra, C. Argyropoulos, Efficient single-photon pair generation by spontaneous parametric down-conversion in nonlinear plasmonic metasurfaces. Nanoscale 13, 19903– 19914 (2021). 34806742
  16. [21]A. Mazzanti, M. Parry, A. N. Poddubny, G. Della Valle, D. N. Neshev, A. A. Sukhorukov, Enhanced generation of angle correlated photon-pairs in nonlinear metasurfaces. New J. Phys. 24, 035006 (2022).
  17. [22]L. Michaeli, S. Keren-Zur, O. Avayu, H. Suchowski, T. Ellenbogen, Nonlinear surface lattice resonance in plasmonic nanoparticle arrays. Phys. Rev. Lett. 118, 243904 (2017). 28665641
  18. [23]D. C. Hooper, C. Kuppe, D. Wang, W. Wang, J. Guan, T. W. Odom, V. K. Valev, Second harmonic spectroscopy of surface lattice resonances. Nano Lett. 19, 165– 172 (2019). 30525669
  19. [24]E. Klopfer, S. Dagli, D. Barton III, M. Lawrence, J. A. Dionne, High-quality-factor silicon-on-lithium niobate metasurfaces for electro-optically reconfigurable wavefront shaping. Nano Lett. 22, 1703– 1709 (2022). 35112873
  20. [26]N. M. H. Duong, G. Saerens, F. Timpu, M. T. Buscaglia, V. Buscaglia, A. Morandi, J. S. Muller, A. Maeder, F. Kaufmann, A. Sonltsev, R. Grange, Broadband photon pair generation from a single lithium niobate microcube. arXiv:2109.08489 (2021). · arXiv
  21. [27]S. Saravi, T. Pertsch, F. Setzpfandt, Lithium niobate on insulator: An emerging platform for integrated quantum photonics. Adv. Opt. Mater. 9, 2100789 (2021).
  22. [30]S. G. Tikhodeev, A. L. Yablonskii, E. A. Muljarov, N. A. Gippius, T. Ishihara, Quasiguided modes and optical properties of photonic crystal slabs. Phys. Rev. B 66, 045102 (2002).
  23. [31]S. Fan, J. D. Joannopoulos, Analysis of guided resonances in photonic crystal slabs. Phys. Rev. B 65, 235112 (2002).
  24. [32]X. Zhang, Q. Li, F. Liu, M. Qiu, S. Sun, Q. He, L. Zhou, Controlling angular dispersions in optical metasurfaces. Light Sci Appl. 9, 76 (2020). 32411361 PMC7200735
  25. [33]J.-H. Song, J. van de Groep, S. J. Kim, M. L. Brongersma, Non-local metasurfaces for spectrally decoupled wavefront manipulation and eye tracking. Nat. Nanotech. 16, 1224– 1230 (2021). 34594006
  26. [34]H. Kwon, D. Sounas, A. Cordaro, A. Polman, A. Alu, Nonlocal metasurfaces for optical signal processing. Phys. Rev. Lett. 121, 173004 (2018). 30411907
  27. [35]S. S. Wang, R. Magnusson, Theory and applications of guided-mode resonance filters. Appl. Optics 32, 2606– 2613 (1993). 20820422
  28. [36]G. Quaranta, G. Basset, O. J. F. Martin, B. Gallinet, Recent advances in resonant waveguide gratings. Laser Photon Rev. 12, 1800017 (2018).
  29. [37]C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, M. Soljacic, Bound states in the continuum. Nat. Rev. Mater. 1, 16048 (2016).
  30. [38]W. Suh, Z. Wang, S. Fan, Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities. IEEE J. Quantum Electron. 40, 1511– 1518 (2004).
  31. [41]Z. Zhu, D. Zhang, F. Xie, J. Chen, S. Gong, W. Wu, W. Cai, X. Zhang, M. Ren, J. Xu, Infrared full-Stokes polarimetry by parametric up-conversion. arXiv:2110.10506 (2021). · arXiv
  32. [43]A. Fedotova, M. Younesi, J. Sautter, A. Vaskin, F. J. F. Lochner, M. Steinert, R. Geiss, T. Pertsch, I. Staude, F. Setzpfandt, Second-harmonic generation in resonant nonlinear metasurfaces based on lithium niobate. Nano Lett. 20, 8608– 8614 (2020). 33180501
  33. [44]L. Carletti, A. Zilli, F. Moia, A. Toma, M. Finazzi, C. De Angelis, D. N. Neshev, M. Celebrano, Steering and encoding the polarization of the second harmonic in the visible with a monolithic LiNbO3 metasurface. ACS Photonics 8, 731– 737 (2021). 33842671 PMC8029498
  34. [45]J. Ma, F. Xie, W. Chen, J. Chen, W. Wu, W. Liu, Y. Chen, W. Cai, M. Ren, J. J. Xu, Nonlinear lithium niobate metasurfaces for second harmonic generation. Laser Photon Rev. 15, 2000521 (2021).
  35. [47]A. Gatti, E. Brambilla, L. Lugiato, Chapter 5 quantum imaging. Prog. Optics 51, 251– 348 (2008).
  36. [48]R. Czaplicki, A. Kiviniemi, J. Laukkanen, J. Lehtolahti, M. Kuittinen, M. Kauranen, Surface lattice resonances in second-harmonic generation from metasurfaces. Opt. Lett. 41, 2684– 2687 (2016). 27304263
  37. [49]N. M. Tran, I. A. Chioar, A. Stein, A. Alekhin, V. Juve, G. Vaudel, I. Razdolski, V. Kapaklis, V. Temnov, Observation of the nonlinear Wood’s anomaly on periodic arrays of nickel nanodimers. Phys. Rev. B 98, 245425 (2018).
  38. [50]V. G. Kravets, A. V. Kabashin, W. L. Barnes, A. N. Grigorenko, Plasmonic surface lattice resonances: A review of properties and applications. Chem. Rev. 118, 5912– 5951 (2018). 29863344 PMC6026846
  39. [51]A. N. Poddubny, D. N. Neshev, A. A. Sukhorukov, Quantum nonlinear metasurfaces, in Nonlinear Meta-Optics, C. D. Angelis, G. Leo, D. N. Neshev, Eds. (CRC Press, 2020), pp. 147–180.
  40. [52]R. R. Boye, R. K. Kostuk, Investigation of the effect of finite grating size on the performance of guided-mode resonance filters. Appl. Optics 39, 3649– 3653 (2000). 18349938
  41. [53]J. M. Bendickson, E. N. Glytsis, T. K. Gaylord, D. L. Brundrett, Guided-mode resonant subwavelength gratings: Effects of finite beams and finite gratings. J. Opt. Soc. Am. A 18, 1912– 1928 (2001). 11488495
  42. [54]C. Okoth, A. Cavanna, T. Santiago-Cruz, M. V. Chekhova, Microscale generation of entangled photons without momentum conservation. Phys. Rev. Lett. 123, 263602 (2019). 31951435
  43. [55]T. Wasak, P. Szankowski, P. Zin, M. Trippenbach, J. Chwedenczuk, Cauchy-Schwarz inequality and particle entanglement. Phys. Rev. A 90, 033616 (2014).
  44. [56]D. F. Walls, G. J. Milburn, Quantum Optics, 2nd edition (Springer, 2008).
  45. [57]I. N. Agafonov, M. V. Chekhova, G. Leuchs, Two-color bright squeezed vacuum. Phys. Rev. A 82, 011801 (2010).
  46. [59]K. V. Kheruntsyan, J. C. Jaskula, P. Deuar, M. Bonneau, G. B. Partridge, J. Ruaudel, R. Lopes, D. Boiron, C. I. Westbrook, Violation of the Cauchy-Schwarz inequality with matter waves. Phys. Rev. Lett. 108, 260401 (2012). 23004939

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Authors
Zhang, J., Ma, J., Parry, M., Cai, M., Camacho-Morales, R., Xu, L., Neshev, D. N., & Sukhorukov, A. A.
Affiliations
  • Australian National University (AU)
  • ARC Centre of Excellence for Transformative Meta-Optical Systems (TMOS), Research School of Physics, The Australian National University, Canberra, ACT 2601, Australia.
  • Nottingham Trent University (GB)
Corresponding author
  • Zhang, Jihua
  • Ma, Jinyong
  • Sukhorukov, Andrey A.
Venue
Science Advances
Published
2022-07-29
Volume
8
Issue
30
Pages
eabq4240-eabq4240
ISSN
2375-2548 (ISSN-L)
OpenAlex
W4226317165
Cited by
195
References
1
Citations by year
2026: 36 · 2025: 73 · 2024: 44 · 2023: 35 · 2022: 7
FWCI
9.16
Type
journal article
Language
en
Open access
Licence
cc-by-nc
Locations
  • Science Advances (publishedVersion, cc-by-nc)
  • PubMed Central (publishedVersion, cc-by-nc)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Figshare (submittedVersion, cc-by)
  • Nottingham Trent University's Institutional Repository (Nottingham Trent Repository) (submittedVersion, cc-by-nc)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photorefractive and Nonlinear Optics
Keywords
spatial entanglement, photon pair entanglement, lithium niobate, nonlocal metasurfaces, spontaneous parametric down-conversion, Cauchy-Schwarz inequality violation, multimode entanglement, high quality factor resonances

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