Related papers: Quantum chaos in the spin coherent state representation

Quantum chaos in the spin coherent state representation

URL: http://arxiv.org/abs/2010.14509v1
Date: Tue, 27 Oct 2020 15:04:40 GMT
Title: Quantum chaos in the spin coherent state representation
Authors: Marek Ku\'s and Robert Przybycie\'n
Abstract summary: We use spin coherent states to compare classical and quantum evolution of a simple paradigmatic, discrete-time quantum dynamical system. In the paper, we presented a different way by comparing evolution of appropriately defined moments of classical and quantum distributions.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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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