Quantum Chaos and Coherence: Random Parametric Quantum Channels

IF 5.1 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Quantum Pub Date : 2024-08-27 DOI:10.22331/q-2024-08-27-1446
Apollonas S. Matsoukas-Roubeas, Tomaž Prosen, Adolfo del Campo
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Abstract

The survival probability of an initial Coherent Gibbs State (CGS) is a natural extension of the Spectral Form Factor (SFF) to open quantum systems. To quantify the interplay between quantum chaos and decoherence away from the semi-classical limit, we investigate the relation of this generalized SFF with the corresponding $l_1$-norm of coherence. As a working example, we introduce Parametric Quantum Channels (PQC), a discrete-time model of unitary evolution mixed with the effects of measurements or transient interactions with an environment. The Energy Dephasing (ED) dynamics arises as a specific case in the Markovian limit. We demonstrate our results in a series of random matrix models.
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量子混沌与相干:随机参量量子通道
初始相干吉布斯态(CGS)的存活概率是光谱形式因子(SFF)在开放量子系统中的自然扩展。为了量化量子混沌与半经典极限之外的退相干之间的相互作用,我们研究了这种广义 SFF 与相应的相干性 l_1$ 准则之间的关系。作为一个工作范例,我们引入了参数量子通道(PQC),这是一种混合了测量或与环境的瞬时相互作用影响的离散时间单元演化模型。能量消除(ED)动力学是马尔可夫极限中的一种特殊情况。我们在一系列随机矩阵模型中展示了我们的成果。
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来源期刊
Quantum
Quantum Physics and Astronomy-Physics and Astronomy (miscellaneous)
CiteScore
9.20
自引率
10.90%
发文量
241
审稿时长
16 weeks
期刊介绍: Quantum is an open-access peer-reviewed journal for quantum science and related fields. Quantum is non-profit and community-run: an effort by researchers and for researchers to make science more open and publishing more transparent and efficient.
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