Hayden-Preskill Recovery in Hamiltonian Systems
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913331915259904 |
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| author | Nakata, Yoshifumi Tezuka, Masaki |
| author_facet | Nakata, Yoshifumi Tezuka, Masaki |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2303_02010 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hayden-Preskill Recovery in Hamiltonian Systems Nakata, Yoshifumi Tezuka, Masaki Strongly Correlated Electrons Disordered Systems and Neural Networks High Energy Physics - Theory Quantum Physics 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. |
| title | Hayden-Preskill Recovery in Hamiltonian Systems |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2303.02010 |