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arXiv 2601.04535quant-phcond-mat.quant-gas
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最大纠缠与冻结信息:动态量子相变的统一框架

Maximal Entanglement and Frozen Information: A Unified Framework for Dynamical Quantum Phase Transitions

College of Physics Science and Technology, Yangzhou University(扬州大学物理科学与技术学院);School of Physics, Hangzhou Normal University(杭州师范大学物理学院);Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences(中国科学院物理研究所)

Kaiyuan Cao, Mingzhi Li, Xiang-Ping Jiang, Shu Chen, Jian Wang

AI总结:

本文提出通过最大纠缠和消失OTOC特征统一描述动态量子相变,揭示量子相关饱和与信息流动停止的临界点。

摘要:

动态量子相变(DQPT)是时间奇点,由Loschmidt回声的零点标记,但其底层量子信息结构仍然不明。我们引入了一个动量解析的纠缠熵作为直接探测DQPTs在平移不变自由系统中的工具。我们分析地证明,每一个与DQPT相关的临界动量模式k*都会将其纠缠饱和到最大值ln2,与Loschmidt回声的消失一致。关键的是,我们证明这种最大纠缠普遍抑制了信息混动:一个动量解析的非平衡时间有序相关函数(OTOC)在k*处对所有时间都恒为零。这三个特征——Fisher零点、最大纠缠和消失的OTOC——在横向场Ising模型和Su-Schrieffer-Heeger模型中被证明是等价的,尽管它们的双分组(动量对vs.子格子)不同。我们的结果建立了一个统一的信息论框架来DQPTs,揭示它们是量子相关饱和和信息流动停止的点。这项工作将纠缠和混动提升到动态有序参数的核心,提供了一个关于非平衡量子临界现象的普遍视角。

英文摘要:

Dynamical quantum phase transitions (DQPTs) are temporal singularities marked by zeros of the Loschmidt echo, yet their underlying quantum-information structure remains elusive. Here, we introduce a momentum-resolved entanglement entropy as a direct probe of DQPTs in translation-invariant free systems. We analytically establish that every critical momentum mode $k^{*}$ associated with a DQPT saturates its entanglement to the maximal value $\ln{2}$, coinciding with the vanishing of the Loschmidt echo. Crucially, we demonstrate that this maximal entanglement universally suppresses information scrambling: a momentum-resolved out-of-time-ordered correlator (OTOC) vanishes identically for all times at $k^{*}$. These three signatures -- Fisher zeros, maximal entanglement, and vanished OTOC -- are proved to be equivalent in both the transverse-field Ising and Su-Schrieffer-Heeger models, despite their distinct bipartitions (momentum-pair vs. sublattice). Our results establish a unified, information-theoretic framework for DQPTs, revealing them a points where quantum correlations saturate and information flow halts. This work elevates entanglement and scrambling to central dynamical order parameters, offering a universal perspective on nonequilibrium quantum critically.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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