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Hayden-Preskill Recovery in Hamiltonian Systems

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arxiv 2303.02010 v4 pith:D25U6ZLH submitted 2023-03-03 cond-mat.str-el cond-mat.dis-nnhep-thquant-ph

Hayden-Preskill Recovery in Hamiltonian Systems

classification cond-mat.str-el cond-mat.dis-nnhep-thquant-ph
keywords informationrecoverydynamicshamiltonianmodelsquantumsystemschaotic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 (SYK) 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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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Microscopic Side Information Controls Ordered Hayden--Preskill Recovery

    quant-ph 2026-07 conditional novelty 7.0

    Without microscopic position labels, Hayden–Preskill recovery of a fixed diary requires Θ(n^{2/3}) output qubits; coarse block labels reduce this to n^{2/3}B^{-1/3} or n/B.

  2. Rethinking quantum information in gravity and fields

    hep-th 2026-06 unverdicted novelty 2.0

    The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.