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arXiv · 1803.04149

Quantum correlations for a simple kicked system with mixed phase space

Or Alus·Shmuel Fishman·Mark Srednicki
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Abstract

We investigate both the classical and quantum dynamics for a simple kicked system (the standard map) that classically has mixed phase space. For initial conditions in a portion of the chaotic region that is close enough to the regular region, the phenomenon of sticking leads to a power-law decay with time of the classical correlation function of a simple observable. Quantum mechanically, we find the same behavior, but with a smaller exponent. We consider various possible explanations of this phenomenon, and settle on a modification of the Meiss--Ott Markov tree model that takes into account quantum limitations on the flux through a turnstile between regions corresponding to states on the tree. Further work is needed to better understand the quantum behavior.

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Or Alus, Shmuel Fishman, Mark Srednicki. 2018-03-12. Quantum correlations for a simple kicked system with mixed phase space. https://doi.org/10.1103/physreve.97.062213

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