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Nonlinear Sciences > Chaotic Dynamics

arXiv:1803.04149 (nlin)
[Submitted on 12 Mar 2018 (v1), last revised 16 May 2018 (this version, v2)]

Title:Quantum correlations for a simple kicked system with mixed phase space

Authors: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.
Comments: 8 pages, 8 figures
Subjects: Chaotic Dynamics (nlin.CD); Quantum Physics (quant-ph)
Cite as: arXiv:1803.04149 [nlin.CD]
  (or arXiv:1803.04149v2 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.1803.04149
Journal reference: Phys. Rev. E 97, 062213 (2018)
Related DOI: https://doi.org/10.1103/PhysRevE.97.062213

Submission history

From: Or Alus [view email]
[v1] Mon, 12 Mar 2018 08:21:57 UTC (5,356 KB)
[v2] Wed, 16 May 2018 18:32:56 UTC (5,357 KB)
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