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  • Open Access

Universal entanglement revival of topological origin

Dongni Chen1,2, Stefano Chesi3,4, and Mahn-Soo Choi2,*

  • *Contact author: choims@korea.ac.kr

Phys. Rev. A 112, 042440 – Published 29 October, 2025

DOI: https://doi.org/10.1103/qsc2-rcy7

Abstract

We investigate the dynamics of entanglement in dissipative fermionic and bosonic Su-Schrieffer-Heeger (SSH) models and discover that they exhibit a revival dynamics of entanglement when the decoherence channel preserves the chiral symmetry. This behavior is only observable in the topological phase, and the visibility of the revival diminishes to zero at the phase boundary. Furthermore, the revival acquires a universal character, meaning that the entire time-evolution profile remains independent of system size, provided that the size exceeds the localization length of the edge modes associated with the topological phase. Our findings suggest that the universal entanglement revival originates from the topological properties of the SSH model. These dynamical properties may be experimentally accessible, for instance, by utilizing photonic quantum computers.

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References (75)

  1. W. H. Zurek, Rev. Mod. Phys. 75, 715 (2003).
  2. M. Schlosshauer, Decoherence and the Quantum-to-Classical Transition, 1st ed., The Frontiers Collection (Springer Berlin, Heidelberg, 2007).
  3. K. Życzkowski, P. Horodecki, M. Horodecki, and R. Horodecki, Phys. Rev. A 65, 012101 (2001).
  4. R. Tanaś and Z. Ficek, J. Opt. B: Quantum Semiclassical Opt. 6, S90 (2004).
  5. F. Benatti and R. Floreanini, J. Phys. A: Math. Gen. 39, 2689 (2006).
  6. Z. Ficek and R. Tanaś, Phys. Rev. A 74, 024304 (2006).
  7. M. O. T. Cunha, New J. Phys. 9, 237 (2007).
  8. J. P. Paz and A. J. Roncaglia, Phys. Rev. Lett. 100, 220401 (2008).
  9. R. C. Drumond and M. O. T. Cunha, J. Phys. A: Math. Theor. 42, 285308 (2009).
  10. S. Das and G. S. Agarwal, J. Phys. B: At., Mol. Opt. Phys. 42, 205502 (2009).
  11. M. Orszag and M. Hernandez, Adv. Opt. Photon. 2, 229 (2010).
  12. M. Amico, O. L. Berman, and R. Y. Kezerashvili, Phys. Rev. A 98, 042325 (2018).
  13. L. Aolita, F. de Melo, and L. Davidovich, Rep. Prog. Phys. 78, 042001 (2015).
  14. Z. Ficek and R. Tanaś, Phys. Rev. A 77, 054301 (2008).
  15. M. Abdel-Aty and T. Yu, J. Phys. B: At., Mol. Opt. Phys. 41, 235503 (2008).
  16. C. E. López, G. Romero, F. Lastra, E. Solano, and J. C. Retamal, Phys. Rev. Lett. 101, 080503 (2008).
  17. A. Lakhfif, A. Hidki, J. El Qars, and M. Nassik, Phys. Lett. A 445, 128247 (2022).
  18. N. Nunavath, S. Mishra, and A. Pathak, Mod. Phys. Lett. A 38, 2350056 (2023).
  19. D. Chen, S. Chesi, and M.-S. Choi, New J. Phys. 26, 013018 (2024).
  20. C.-K. Chiu, J. C. Y. Teo, A. P. Schnyder, and S. Ryu, Rev. Mod. Phys. 88, 035005 (2016).
  21. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature 416, 608 (2002).
  22. L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Rev. Mod. Phys. 80, 517 (2008).
  23. A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006).
  24. P. Fendley, M. Fisher, and C. Nayak, J. Stat. Phys. 126, 1111 (2007).
  25. W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. Lett. 42, 1698 (1979).
  26. J. K. Asbóth, L. Oroszlány, and A. Pályi, A Short Course on Topological Insulators, Lecture Notes in Physics Vol. 919 (Springer, Cham, 2016).
  27. S.-Q. Shen, Topological Insulators: Dirac Equation in Condensed Matter (Springer Singapore, 2017).
  28. A. Kitaev, Ann. Phys. 303, 2 (2003).
  29. M. J. Larsen, M. H. Freedman, A. Kitaev and Z. Wang, Bull. Am. Math. Soc. 40, 31 (2003).
  30. C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008).
  31. R. W. Bomantara and J. Gong, Phys. Rev. B 98, 165421 (2018).
  32. R. W. Bomantara and J. Gong, Phys. Rev. Lett. 120, 230405 (2018).
  33. V. Lahtinen and J. K. Pachos, SciPost Phys. 3, 021 (2017).
  34. B. I. Halperin, Phys. Rev. B 25, 2185 (1982).
  35. M. Büttiker, Phys. Rev. B 38, 9375 (1988).
  36. Q. Niu and D. J. Thouless, J. Phys. A: Math. Gen. 17, 2453 (1984).
  37. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010).
  38. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011).
  39. S. Ryu, A. P. Schnyder, A. Furusaki, and A. W. W. Ludwig, New J. Phys. 12, 065010 (2010).
  40. M. Kawasaki, K. Mochizuki, and H. Obuse, Phys. Rev. B 106, 035408 (2022).
  41. Y.-W. Huang, P.-Y. Yang, and W.-M. Zhang, Phys. Rev. B 102, 165116 (2020).
  42. S. Diehl, E. Rico, M. A. Baranov, and P. Zoller, Nat. Phys. 7, 971 (2011).
  43. C.-E. Bardyn, M. A. Baranov, C. V. Kraus, E. Rico, A. İmamoğlu, P. Zoller, and S. Diehl, New J. Phys. 15, 085001 (2013).
  44. A. Rivas, O. Viyuela, and M. A. Martin-Delgado, Phys. Rev. B 88, 155141 (2013).
  45. O. Viyuela, A. Rivas, and M. A. Martin-Delgado, Phys. Rev. B 86, 155140 (2012).
  46. F. Dangel, M. Wagner, H. Cartarius, J. Main, and G. Wunner, Phys. Rev. A 98, 013628 (2018).
  47. G. Salatino, G. Passarelli, A. Russomanno, G. E. Santoro, P. Lucignano, and R. Fazio, Phys. Rev. B 111, 235437 (2025).
  48. L. S. Madsen, F. Laudenbach, M. F. Askarani, F. Rortais, T. Vincent, J. F. F. Bulmer, F. M. Miatto, L. Neuhaus, L. G. Helt, M. J. Collins, et al., Nature (London) 606, 75 (2022).
  49. J. L. O'Brien, A. Furusawa, and J. Vucčković, Nat. Photon. 3, 687 (2009).
  50. G. Yuan, Y. Chen, J. Lu, S. Wu, Z. Ye, L. Qian, and G. Chen, arXiv:2405.12511.
  51. M. Kiczynski, S. K. Gorman, H. Geng et al., Nature (London) 606, 694 (2022).
  52. Note 1, without loss of generality, we assume real and positive hopping amplitudes. Complex hopping amplitudes can always be brought to real positive values with a gauge transformation.
  53. Note 2, in this half-chain SSH model, one of the unit cells is not complete, as it contains only a single site instead of two, and the bulk-boundary correspondence does not hold in the usual sense.
  54. Note 3, in the full SSH model, there is another zero-energy edge mode at the right end.
  55. L. Lu, J. D. Joannopoulos, and M. Soljačić, Nat. Photon. 8, 821 (2014).
  56. M. C. Rechtsman, J. M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky, F. Dreisow, S. Nolte, M. Segev, and A. Szameit, Nature (London) 496, 196 (2013).
  57. Note 4, for noninteracting fermions with a restricted class of quantum jump operators, a polynomial-time method is available; see, for example, Refs. [73, 74, 75].
  58. G. D. Mahan, Many-Particle Physics, 3rd ed. (Springer, New York, 2000).
  59. I. Peschel, J. Phys. A: Math. Gen. 36, L205 (2003).
  60. M. B. Plenio and S. Virmani, Quantum Inf. Comput. 7, 1 (2007).
  61. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
  62. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
  63. M. B. Plenio, Phys. Rev. Lett. 95, 090503 (2005).
  64. J. Eisert and M. B. Plenio, J. Mod. Opt. 46, 145 (1999).
  65. J. Qiu, D. Chen, Y.-D. Wang, and S. Chesi, Commun. Theor. Phys. 74, 055105 (2022).
  66. H. Shapourian, K. Shiozaki, and S. Ryu, Phys. Rev. B 95, 165101 (2017).
  67. H. Shapourian and S. Ryu, J. Stat. Mech. (2019) 043106.
  68. H. Shapourian and S. Ryu, Phys. Rev. A 99, 022310 (2019).
  69. M.-S. Choi, Q3: Symbolic quantum simulation framework (2020), https://github.com/quantum-mob/Q3.
  70. H. Casini and M. Huerta, J. Phys. A: Math. Theor. 42, 504007 (2009).
  71. J. Yoneda, J. S. Rojas-Arias, P. Stano et al., Nat. Phys. 19, 1793 (2023).
  72. J. Zou, S. Bosco, and D. Loss, npj Quantum Inf. 10, 46 (2024) .
  73. T. Prosen, New J. Phys. 10, 043026 (2008).
  74. S. Bravyi and R. Knönig, Quantum Inf. Comput. 12, 925 (2012).
  75. V. Alba and F. Carollo, SciPost Phys. 15, 124 (2023).

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