论文标题
量子与旋转玻色子系统中的量子动力学：光谱相关和疤痕的表现
Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring
论文作者
论文摘要
我们比较了Dicke模型在其常规和混乱的域中的整个经典和量子演变。这是一个极大的实验兴趣的范式相互作用的自旋玻色子模型。通过研究初始相干状态的经典和量子生存概率，我们确定了纯粹是量子的长期动力学的特征，并讨论了它们对平衡时间的影响。我们表明，生存概率的量子和经典渐近值之间的比率是确定常规制度中与分离物的接近性的度量，并区分量子混乱的两种表现：疤痕和麦芽异构。在最大量子性牙齿性的情况下，我们的结果是分析性的，表明量子平衡所需的时间比经典平衡更长。
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.
