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arXiv 2301.02563quant-phcond-mat.stat-mech
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有(无)退相干的经典性:概念、与马尔可夫性的关系及随机矩阵理论方法

Classicality with(out) decoherence: Concepts, relation to Markovianity, and a random matrix theory approach

Philipp Strasberg

AI总结:

本文重新审视了经典世界从量子物理中产生的问题,比较了三种经典性概念,确立了严格定义的量子马尔可夫性在连接这些概念中的关键作用,并利用随机矩阵理论模型证明在非可积和混沌系统中,缓慢粗糙观测量的测量统计中量子效应被指数级抑制。

摘要:

关于经典世界如何从底层量子物理中产生的问题,其答案被重新审视、联系并扩展如下。首先,比较了三个不同的概念:开放量子系统中的退相干、一致/退相干历史和 Kolmogorov 一致性。其次,确立了严格定义的量子马尔可夫性在连接这些概念中的关键作用。第三,使用随机矩阵理论模型,证明了在缓慢且粗糙的可观测量的测量统计中,尽管存在大量相干性,量子效应仍被指数级抑制。这也在数值上得到了例证,并突显了非可积性和混沌对于经典性产生的潜力与重要性。

英文摘要:

Answers to the question how a classical world emerges from underlying quantum physics are revisited, connected and extended as follows. First, three distinct concepts are compared: decoherence in open quantum systems, consistent/decoherent histories and Kolmogorov consistency. Second, the crucial role of quantum Markovianity (defined rigorously) to connect these concepts is established. Third, using a random matrix theory model, quantum effects are shown to be exponentially suppressed in the measurement statistics of slow and coarse observables despite the presence of large amount of coherences. This is also numerically exemplified, and it highlights the potential and importance of non-integrability and chaos for the emergence of classicality.

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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