Dicke模型及其变体中的量子混沌

IF 2.9 3区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2023-10-01 DOI:10.1098/rspa.2023.0431

Devvrat Tiwari, Subhashish Banerjee

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引用次数: 0

摘要

近年来，超时序相关器(OTOC)作为量子混沌的一种指示器受到了广泛的关注。在半经典极限下，其指数增长率近似于经典李亚普诺夫指数。单体混沌系统和具有相互作用的现实系统都支持量子-经典对应，如Dicke模型，一个多二能级原子和腔场相互作用的模型。为此，我们计算了开放量子系统中Dicke模型的不同变体的OTOC。研究了Dicke模型的超辐射相变与OTOC之间的关系。进一步，我们建立了OTOC与二阶相干函数之间的关系。这对于量子光学模型中OTOC和量子混沌的实验研究具有重要意义。

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Quantum chaos in the Dicke model and its variants

Recently, the out-of-time-ordered correlator (OTOC) has gained much attention as an indicator of quantum chaos. In the semi-classical limit, its exponential growth rate resembles the classical Lyapunov exponent. The quantum–classical correspondence has been supported for the one-body chaotic systems as well as realistic systems with interactions, as in the Dicke model, a model of multi-two-level atoms and cavity field interactions. To this end, we calculate the OTOC for different variations of the Dicke model in an open quantum system setting. The connection between the superradiant phase transition of the Dicke model and the OTOC is studied. Further, we establish a relation between the OTOC and the second-order coherence function. This becomes important for the experimental studies of the OTOC and quantum chaos in the models of quantum optics.

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来源期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 综合性期刊-综合性期刊

CiteScore

6.40

自引率

5.70%

发文量

227

审稿时长

3.0 months

期刊介绍： Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.