论文标题

自旋连贯状态表示中的量子混乱

Quantum chaos in the spin coherent state representation

论文作者

Kuś, Marek, Przybycień, Robert

论文摘要

我们使用旋转相干状态比较一个简单的范式离散的量子动力学系统的经典和量子演化,该系统在经典的极限下表现出混乱的行为。旋转相干状态用于定义量子状态的相位准分裂(p-pressentation)。原则上,它可以用于直接比较量子和经典动力学,其中在经典级别上处理经典相位空间上的经典分布函数。在本文中,我们通过比较了经典和量子分布的适当定义时刻的演变,尤其是矩的一步传播器,提出了另一种方式。

We use spin coherent states to compare classical and quantum evolution of a simple paradigmatic, discrete-time quantum dynamical system exhibiting chaotic behavior in the classical limit. The spin coherent states are employed to define a phase-space quasidistribution for quantum states (P-representation). It can be, in principle, used for a direct comparison of the quantum and classical dynamics, where on the classical level one deals with the classical distribution function on the classical phase space. In the paper, we presented a different way by comparing evolution of appropriately defined moments of classical and quantum distributions, in particular the one-step propagators of the moments.

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