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Suppression of quantum correlations in a clean-disordered atom-nanophotonic interface

I Gusti Ngurah Yudi Handayana1,2,3,*, Yi-Lin Tsao3,4, and H. H. Jen3,1,5,†

  • *Contact author: ngurahyudi@unram.ac.id
  • †Contact author: sappyjen@gmail.com

Phys. Rev. Research 7, 023303 – Published 24 June, 2025

DOI: https://doi.org/10.1103/7ywr-kd8y

Abstract

Quantum correlations are essential to the emergent behaviors of quantum systems, supporting key phenomena such as localization or delocalization of particles, quantum avalanches in many-body localized systems, and quantum information transfer. In open atom-nanophotonic systems characterized by long-range spin-exchange interactions, we examine the influence of clean system size on high-order quantum correlations among a clean-disordered atomic array with multiple atomic excitations. By initializing the system far from equilibrium, we observe a suppression of quantum correlations for localized atomic excitations in the disordered zone as the clean system size increases, showcasing the delocalization behavior in the high-order spin-exchange processes. The calculation of the entanglement entropy at the interface further substantiates this thermalizing effect. Our results manifest distinct quantum correlations enabled by long-range interactions mediated by the waveguide, enhance the theoretical comprehension of clean-disordered systems, and provide insights to nonequilibrium quantum dynamics in an atom-nanophotonic platform.

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References (70)

  1. A. Osterloh, Luigi Amico, G. Falci and R. Fazio, Scaling of entanglement close to a quantum phase transition, Nature (London) 416, 608 (2002).
  2. U. Mishra, H. Cheraghi, S. Mahdavifar, R. Jafari, and A. Akbari, Dynamical quantum correlations after sudden quenches, Phys. Rev. A 98, 052338 (2018).
  3. A. Polkovnikov, Universal adiabatic dynamics in the vicinity of a quantum critical point, Phys. Rev. B 72, 161201 (2005).
  4. W. H. Zurek, U. Dorner, and P. Zoller, Dynamics of a quantum phase transition, Phys. Rev. Lett. 95, 105701 (2005).
  5. A. Keesling, A. Omran, H. Levine, H. Bernien, H. Pichler, S. Choi, R. Samajdar, S. Schwartz, P. Silvi et al., Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator, Nature (London) 568, 207 (2019).
  6. J. Léonard, S. Kim, M. Rispoli, A. Lukin, R. Schittko, J. Kwan, E. Demler, D. Sels, and M. Greiner, Probing the onset of quantum avalanches in a many-body localized system, Nat. Phys. 19, 481 (2023).
  7. R. Nandkishore and D. A. Huse, Many-body localization and thermalization in quantum statistical mechanics, Annu. Rev. Condens. Matter Phys. 6, 15 (2015).
  8. J. H. Bardarson, F. Pollmann, and J. E. Moore, Unbounded growth of entanglement in models of many-body localization, Phys. Rev. Lett. 109, 017202 (2012).
  9. K. Agarwal, S. Gopalakrishnan, M. Knap, M. Müller, and E. Demler, Anomalous diffusion and Griffiths effects near the many-body localization transition, Phys. Rev. Lett. 114, 160401 (2015).
  10. M. Schreiber, S. S. Hodgman, P. Bordia, H. P. Lüschen, M. H. Fischer, R. Vosk, E. Altman, U. Schneider, and I. Bloch, Observation of many-body localization of interacting fermions in a quasirandom optical lattice, Science 349, 842 (2015).
  11. R. Vosk, D. A. Huse, and E. Altman, Theory of the many-body localization transition in one-dimensional systems, Phys. Rev. X 5, 031032 (2015).
  12. J.-Y. Choi, S. Hild, J. Zeiher, P. Schauß, A. Rubio-Abadal, T. Yefsah, V. Khemani, D. A. Huse, I. Bloch, and C. Gross, Exploring the many-body localization transition in two dimensions, Science 352, 1547 (2016).
  13. P. Roushan et al., Spectroscopic signatures of localization with interacting photons in superconducting qubits, Science 358, 1175 (2017).
  14. D. A. Abanin, E. Altman, I. Bloch, and M. Serbyn, Colloquium: Many-body localization, thermalization, and entanglement, Rev. Mod. Phys. 91, 021001 (2019).
  15. D. J. Luitz, F. Huveneers, and W. D. Roeck, How a small quantum bath can thermalize long localized chains, Phys. Rev. Lett. 119, 150602 (2017).
  16. T. Thiery, F. Huveneers, M. Müller, and W. D. Roeck, Many-body delocalization as a quantum avalanche, Phys. Rev. Lett. 121, 140601 (2018).
  17. A. Morningstar, L. Colmenarez, V. Khemani, D. J. Luitz, and D. A. Huse, Avalanches and many-body resonances in many-body localized systems, Phys. Rev. B 105, 174205 (2022).
  18. D. Sels, Bath-induced delocalization in interacting disordered spin chains, Phys. Rev. B 106, L020202 (2022).
  19. Z. Lan, M. van Horssen, S. Powell, and J. P. Garrahan, Quantum slow relaxation and metastability due to dynamical constraints, Phys. Rev. Lett. 121, 040603 (2018).
  20. V. Khemani, M. Hermele, and R. Nandkishore, Localization from Hilbert space shattering: From theory to physical realizations, Phys. Rev. B 101, 174204 (2020).
  21. P. Sala, T. Rakovszky, R. Verresen, M. Knap, and F. Pollmann, Ergodicity breaking arising from hilbert space fragmentation in dipole-conserving Hamiltonians, Phys. Rev. X 10, 011047 (2020).
  22. S. Moudgalya, B. A. Bernevig, and N. Regnault, Quantum many-body scars and Hilbert space fragmentation: A review of exact results, Rep. Prog. Phys. 85, 086501 (2022).
  23. A. Khudorozhkov, A. Tiwari, C. Chamon, and T. Neupert, Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries, SciPost Phys. 13, 098 (2022).
  24. S. Moudgalya and O. I. Motrunich, Hilbert space fragmentation and commutant algebras, Phys. Rev. X 12, 011050 (2022).
  25. D. Adler, D. Wei, M. Will, K. Srakaew, S. Agrawal, P. Weckesser, R. Moessner, F. Pollmann, I. Bloch, and J. Zeiher, Observation of Hilbert space fragmentation and fractonic excitations in 2D, Nature (London) 636, 80 (2024).
  26. Y. Geng, J. Tao, M. Zhao, S. Mukherjee, S. Eckel, G. K. Campbell, and I. B. Spielman, The Rayleigh-Taylor instability in a binary quantum fluid, arXiv:2411.19807.
  27. C.-C. Wu, K.-T. Lin, I. G. N. Y. Handayana, C.-H. Chien, S. Goswami, G.-D. Lin, Y.-C. Chen, and H. H. Jen, Atomic excitation delocalization at the clean to disordered interface in a chirally-coupled atomic array, Phys. Rev. Res. 6, 013159 (2024).
  28. P. W. Anderson, Absence of diffusion in certain random lattices, Phys. Rev. 109, 1492 (1958).
  29. R. Mitsch, C. Sayrin, B. Albrecht, P. Schneeweiss, and A. Rauschenbeutel, Quantum state-controlled directional spontaneous emission of photons into a nanophotonic waveguide, Nat. Commun. 5, 5713 (2014).
  30. P. Lodahl, S. Mahmoodian, S. Stobbe, A. Rauschenbeutel, P. Schneeweiss, J. Volz, H. Pichler, and P. Zoller, Chiral quantum optics, Nature (London) 541, 473 (2017).
  31. D. E. Chang, J. S. Douglas, A. González-Tudela, C.-L. Hung, H. J. Kimble, Colloquium: Quantum matter built from nanoscopic lattices of atoms and photons, Rev. Mod. Phys. 90, 031002 (2018).
  32. E. Kim, X. Zhang, V. S. Ferreira, J. Banker, J. K. Iverson, A. Sipahigil, M. Bello, A. González-Tudela, M. Mirhosseini, and O. Painter, Quantum electrodynamics in a topological waveguide, Phys. Rev. X 11, 011015 (2021).
  33. A. S. Sheremet, M. I. Petrov, I. V. Iorsh, A. V. Poshakinskiy, A. N. Poddubny, Waveguide quantum electrodynamics: Collective radiance and photon-photon correlations, Rev. Mod. Phys. 95, 015002 (2023).
  34. M. Arcari, I. Söllner, A. Javadi, S. Lindskov Hansen, S. Mahmoodian, J. Liu, H. Thyrrestrup, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, Near-unity coupling efficiency of a quantum emitter to a photonic crystal waveguide, Phys. Rev. Lett. 113, 093603 (2014).
  35. T. G. Tiecke, J. D. Thompson, N. P. de Leon, L. R. Liu, V. Vuletić, and M. D. Lukin, Nanophotonic quantum phase switch with a single atom, Nature (London) 508, 241 (2014).
  36. R. Yalla, M. Sadgrove, K. P. Nayak, and K. Hakuta, Cavity quantum electrodynamics on a nanofiber using a composite photonic crystal cavity, Phys. Rev. Lett. 113, 143601 (2014).
  37. P. Samutpraphoot, T. Dordević, P. L. Ocola, H. Bernien, C. Senko, V. Vuletić, and M. D. Lukin, Strong coupling of two individually controlled atoms via a nanophotonic cavity, Phys. Rev. Lett. 124, 063602 (2020).
  38. T. Dordević, P. Samutpraphoot, P. L. Ocola, H. Bernien, B. Grinkemeyer, I. Dimitrova, V. Vuletić, and M. D. Lukin, Entanglement transport and a nanophotonic interface for atoms in optical tweezers, Science 373, 1511 (2021).
  39. A. González-Tudela and D. Porras, Mesoscopic entanglement induced by spontaneous emission in solid-state quantum optics, Phys. Rev. Lett. 110, 080502 (2013).
  40. T. Ramos, H. Pichler, A. J. Daley, and P. Zoller, Quantum spin dimers from chiral dissipation in cold-atom chains, Phys. Rev. Lett. 113, 237203 (2014).
  41. H. Pichler, T. Ramos, A. J. Daley, and P. Zoller, Quantum optics of chiral spin networks, Phys. Rev. A 91, 042116 (2015).
  42. H. H. Jen, Bound and subradiant multiatom excitations in an atomic array with nonreciprocal couplings, Phys. Rev. A 103, 063711 (2021).
  43. S. Mahmoodian, M. Čepulkovskis, S. Das, P. Lodahl, K. Hammerer, and A. S. Sørensen, Strongly correlated photon transport in waveguide quantum electrodynamics with weakly coupled emitters, Phys. Rev. Lett. 121, 143601 (2018).
  44. H. Le Jeannic, T. Ramos, S. F. Simonsen, T. Pregnolato, Z. Liu, R. Schott, A. D. Wieck, A. Ludwig, N. Rotenberg, J. J. García-Ripoll, and P. Lodahl, Experimental reconstruction of the few-photon nonlinear scattering matrix from a single quantum dot in a nanophotonic waveguide, Phys. Rev. Lett. 126, 023603 (2021).
  45. H. H. Jen, Quantum correlations of localized atomic excitations in a disordered atomic chain, Phys. Rev. A 105, 023717 (2022).
  46. C.-H. Chien, S. Goswami, C.-C. Wu, W.-S. Hiew, Y.-C. Chen, and H. H. Jen, Generating scalable graph states in an atom-nanophotonic interface, Quantum Sci. Technol. 9, 025020 (2024).
  47. I. M. Mirza, J. G. Hoskins, and J. C. Schotland, Chirality, band structure, and localization in waveguide quantum electrodynamics, Phys. Rev. A 96, 053804 (2017).
  48. H. H. Jen, Disorder-assisted excitation localization in chirally coupled quantum emitters, Phys. Rev. A 102, 043525 (2020).
  49. J. Zhong, N. A. Olekhno, Y. Ke, A. V. Poshakinskiy, C. Lee, Y. S. Kivshar, and A. N. Poddubny, Photon-mediated localization in two-level qubit arrays, Phys. Rev. Lett. 124, 093604 (2020).
  50. N. Fayard, L. Henriet, A. Asenjo-Garcia, and D. E. Chang, Many-body localization in waveguide quantum electrodynamics, Phys. Rev. Res. 3, 033233 (2021).
  51. F. Le Kien, S. Dutta Gupta, K. P. Nayak, and K. Hakuta, Nanofiber-mediated radiative transfer between two distant atoms, Phys. Rev. A 72, 063815 (2005).
  52. P. Solano, P. Barberis-Blostein, F. K. Fatemi, L. A. Orozco, and S. L. Rolston, Super-radiance reveals infinite-range dipole interactions through a nanofiber, Nat. Commun. 8, 1857 (2017).
  53. R. Kubo, Generalized cumulant expansion method, J. Phys. Soc. Jpn. 17, 1100 (1962).
  54. R. H. Dicke, Coherence in spontaneous radiation processes, Phys. Rev. 93, 99 (1954).
  55. H. H. Jen, Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms, Quantum Sci. Technol. 10, 023001 (2025).
  56. C. W. Gardiner, Driving a quantum system with the output field from another driven quantum system, Phys. Rev. Lett. 70, 2269 (1993).
  57. H. J. Carmichael, Quantum trajectory theory for cascaded open systems, Phys. Rev. Lett. 70, 2273 (1993).
  58. K. Stannigel, P. Rabl, and P. Zoller, Driven-dissipative preparation of entangled states in cascaded quantum-optical networks, New J. Phys. 14, 063014 (2012).
  59. I G. N. Y. Handayana, C.-C. Wu, S. Goswami, Y.-C. Chen, and H. H. Jen, Atomic excitation trapping in dissimilar chirally coupled atomic arrays, Phys. Rev. Res. 6, 013320 (2024).
  60. S.-H. Chung, I. G. N. Y. Handayana, Y.-L. Tsao, C.-C. Wu, G.-D. Lin, and H. H. Jen, Steady-state phases and interaction-induced depletion in a driven-dissipative chirally-coupled dissimilar atomic array, Phys. Rev. Res. 6, 023232 (2024).
  61. H. H. Jen, Phase-imprinted multiphoton subradiant states, Phys. Rev. A 96, 023814 (2017).
  62. See Supplemental Material at http://link.aps.org/supplemental/10.1103/7ywr-kd8y for more details on statistical convergence of ensemble averages, the effects of directionality, nonguided modes, and disorder strengths, back-action mechanism, averaging of second-order quantum correlations, and calculation of entropy per particle.
  63. H. H. Jen, M.-S. Chang, G.-D. Lin, and Y.-C. Chen, Subradiance dynamics in a singly excited chirally coupled atomic chain, Phys. Rev. A 101, 023830 (2020).
  64. A. Goban, C.-L. Hung, J. D. Hood, S.-P. Yu, J. A. Muniz, O. Painter, and H. J. Kimble, Superradiance for atoms trapped along a photonic crystal waveguide, Phys. Rev. Lett. 115, 063601 (2015).
  65. J. S. Douglas, H. Habibian, C.-L. Hung, A. V. Gorshkov, H. J. Kimble, and D. E. Chang, Quantum many-body models with cold atoms coupled to photonic crystals, Nature Photon 9, 326 (2015).
  66. N. V. Corzo, J. Raskop, A. Chandra, A. S. Sheremet, B. Gouraud, and J. Laurat, Waveguide-coupled single collective excitation of atomic arrays, Nature (London) 566, 359 (2019).
  67. M. O. Scully, E. S. Fry, C. H. Raymond Ooi, and K. Wódkiewicz, Directed spontaneous emission from an extended ensemble of N atoms: Timing is everything, Phys. Rev. Lett. 96, 010501 (2006).
  68. S. Mondal and F. Heidrich-Meisner, Delocalization in a partially disordered interacting many-body system, Phys. Rev. B 109, 125127 (2024).
  69. H. H. Jen, Steady-state phase diagram of a weakly driven chiral-coupled atomic chain, Phys. Rev. Res. 2, 013097 (2020).
  70. F. Xing, Y. Lu, and Z. Liao, Quantum correlation propagation in a waveguide-QED system with long-range interaction, Opt. Express 30, 22963 (2022).

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