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Title: Entropy production in quantum Yang–Mills mechanics in the semiclassical approximation
Authors: Tsukiji, Hidekazu
Iida, Hideaki
Kunihiro, Teiji
Ohnishi, Akira  kyouindb  KAKEN_id
Takahashi, Toru T.
Author's alias: 大西, 明
Issue Date: Aug-2015
Publisher: Oxford University Press (OUP)
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2015
Issue: 8
Thesis number: 083A01
Abstract: We discuss thermalization of isolated quantum systems by using the Husimi–Wehrl entropy evaluated in the semiclassical treatment. The Husimi–Wehrl entropy is the Wehrl entropy obtained by using the Husimi function for the phase space distribution. The time evolution of the Husimi function is given by smearing the Wigner function, whose time evolution is obtained in the semiclassical approximation. We show the efficiency and usefulness of this semiclassical treatment in describing the entropy production of a couple of quantum-mechanical systems, whose classical counter-systems are known to be chaotic. We propose two methods to evaluate the time evolution of the Husimi–Wehrl entropy, the test-particle method and the two-step Monte Carlo method. We demonstrate the characteristics of the two methods by numerical calculations, and show that simultaneous application of the two methods ensures the reliability of the results of the Husimi–Wehrl entropy at a given time.
Rights: © The Author(s) 2015. Published by Oxford University Press on behalf of the Physical Society of Japan.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
Funded by SCOAP3
DOI(Published Version): 10.1093/ptep/ptv107
Appears in Collections:Journal Articles

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