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Ubiquitous quantum scarring does not prevent ergodicity

Author

Listed:
  • Saúl Pilatowsky-Cameo

    (Universidad Nacional Autónoma de México)

  • David Villaseñor

    (Universidad Nacional Autónoma de México)

  • Miguel A. Bastarrachea-Magnani

    (Aarhus University, Ny Munkegade
    Universidad Autónoma Metropolitana-Iztapalapa)

  • Sergio Lerma-Hernández

    (Universidad Veracruzana)

  • Lea F. Santos

    (Yeshiva University)

  • Jorge G. Hirsch

    (Universidad Nacional Autónoma de México)

Abstract

In a classically chaotic system that is ergodic, any trajectory will be arbitrarily close to any point of the available phase space after a long time, filling it uniformly. Using Born’s rules to connect quantum states with probabilities, one might then expect that all quantum states in the chaotic regime should be uniformly distributed in phase space. This simplified picture was shaken by the discovery of quantum scarring, where some eigenstates are concentrated along unstable periodic orbits. Despite that, it is widely accepted that most eigenstates of chaotic models are indeed ergodic. Our results show instead that all eigenstates of the chaotic Dicke model are actually scarred. They also show that even the most random states of this interacting atom-photon system never occupy more than half of the available phase space. Quantum ergodicity is achievable only as an ensemble property, after temporal averages are performed.

Suggested Citation

  • Saúl Pilatowsky-Cameo & David Villaseñor & Miguel A. Bastarrachea-Magnani & Sergio Lerma-Hernández & Lea F. Santos & Jorge G. Hirsch, 2021. "Ubiquitous quantum scarring does not prevent ergodicity," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
  • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-21123-5
    DOI: 10.1038/s41467-021-21123-5
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    Cited by:

    1. Michael Saccone & Francesco Caravelli & Kevin Hofhuis & Scott Dhuey & Andreas Scholl & Cristiano Nisoli & Alan Farhan, 2023. "Real-space observation of ergodicity transitions in artificial spin ice," Nature Communications, Nature, vol. 14(1), pages 1-9, December.

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