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  • Letter
  • Open Access

Hayden-Preskill recovery in Hamiltonian systems

Yoshifumi Nakata1,* and Masaki Tezuka2,†

  • 1Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto 606-8502, Japan
  • 2Department of Physics, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto 606-8502, Japan

  • *yoshifumi.nakata@yukawa.kyoto-u.ac.jp
  • †tezuka@scphys.kyoto-u.ac.jp
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Phys. Rev. Research 6, L022021 – Published 25 April, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L022021

Abstract

Information scrambling refers to the unitary dynamics that quickly spreads and encodes localized quantum information over an entire many-body system and makes the information accessible from any small subsystem. While information scrambling is the key to understanding complex quantum many-body dynamics and is well-understood in random unitary models, it has been hardly explored in Hamiltonian systems. In this Letter, we investigate the information recovery in various time-independent Hamiltonian systems, including chaotic spin chains and Sachdev-Ye-Kitaev models. We show that information recovery is possible in certain, but not all, chaotic models, which highlights the difference between information recovery and quantum chaos based on the energy spectrum or the out-of-time-ordered correlators. We also show that information recovery probes transitions caused by the change of information-theoretic features of the dynamics.

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Phys. Rev. Research 6, L022021– Published 25 April, 2024
  • Received 20 March 2023
  • Revised 1 April 2024
  • Accepted 3 April 2024
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