Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring
Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring
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DOI：
10.1088/1367-2630/ab8ef8
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发表时间：
2020-02
影响因子：
3.3
通讯作者：
D. Villaseñor;S. Pilatowsky-Cameo;M. Bastarrachea-Magnani;S. Lerma;L. F. Santos;J. Hirsch
中科院分区：
文献类型：
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作者：
D. Villaseñor;S. Pilatowsky-Cameo;M. Bastarrachea-Magnani;S. Lerma;L. F. Santos;J. Hirsch
我们比较了迪凯模型在其规则域和混沌域中的整个经典和量子演化。这是一个典型的相互作用自旋玻色子模型，具有很大的实验意义。通过研究初始相干态的经典和量子生存概率，我们确定了纯量子的长时间动力学的特征，并讨论了它们对平衡时间的影响。我们发现，量子和经典的生存概率的渐近值之间的比率作为一个度量，以确定在经常制度的分界线的接近，并区分量子混沌的两种表现形式：疤痕和遍历。在最大量子遍历性的情况下，我们的结果是解析的，并表明量子平衡需要比经典平衡更长的时间。
We compare the entire classical and quantum evolutions of the Dicke model in its regular and chaotic domains. This is a paradigmatic interacting spin-boson model of great experimental interest. By studying the classical and quantum survival probabilities of initial coherent states, we identify features of the long-time dynamics that are purely quantum and discuss their impact on the equilibration times. We show that the ratio between the quantum and classical asymptotic values of the survival probability serves as a metric to determine the proximity to a separatrix in the regular regime and to distinguish between two manifestations of quantum chaos: scarring and ergodicity. In the case of maximal quantum ergodicity, our results are analytical and show that quantum equilibration takes longer than classical equilibration.