非马尔可夫开放量子系统中的量子混沌：干涉OTOC、洛施密特回波和换向算子范数。

IF 3.2 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2025-10-01 DOI:10.1063/5.0275096

Baibhab Bose, Devvrat Tiwari, Subhashish Banerjee

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引用次数: 0

摘要

超时序相关器（OTOCs）对混沌哈密顿量具有明显的置乱行为，是研究量子混沌的重要工具。我们计算了原子场和自旋-自旋相互作用模型中的OTOC，并分析了这两种开放系统模型中具有非马尔可夫行为的量子信息混乱。我们还研究了这些模型的洛施密特回波，并评论了它们的混沌性质。对这些模型研究了上界为Lieb-Robinson界的两个局部算子的换易子增长，并研究了置乱模式。

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Quantum chaos in non-Markovian open quantum systems: Interferometric OTOC, Loschmidt echo, and commutator operator norm.

Out-of-time order correlators (OTOCs) are crucial tools for studying quantum chaos as they show distinct scrambling behavior for chaotic Hamiltonians. We calculate the OTOC and analyze the quantum information scrambling in atom-field and spin-spin interaction models, which are open-system models and exhibit non-Markovian behavior. We also examine the Loschmidt echo for these models and comment on their chaotic nature. The commutator growth of two local operators, which is upper bounded by the Lieb-Robinson bound, is studied for these models, and the patterns of scrambling are investigated.

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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.