Quantum chaos in the spin coherent state representation

2020/10/27 by Kuś, Marek, Przybycień, Robert
#Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2010.14509

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.

Related

• Spin systems, spin coherent states and quasi-exactly solvable models
• Transition to classical chaos in a coupled quantum system through continuous measurement
• Timescales of quantum and classical chaotic spin models evolving toward equilibrium
• Coherent states in real parameterization up to SU(5) and classical dynamics of spin systems
• Coherent Distributions and Quantization