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Time-reversal characteristics of quantum normal diffusion

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Abstract

This paper concerns the time-reversal characteristics of intrinsic normal diffusion in quantum systems. Time-reversible properties are quantified by the time-reversal test; the system evolved in the forward direction for a certain period is time-reversed for the same period after applying a small perturbation at the reversal time, and the separation between the time-reversed perturbed and unperturbed states is measured as a function of perturbation strength, which characterizes sensitivity of the time reversed system to the perturbation and is called the time-reversal characteristic. Time-reversal characteristics are investigated for various quantum systems, namely, classically chaotic quantum systems and disordered systems including various stochastic diffusion system. When the system is normally diffusive, there exists a fundamental quantum unit of perturbation, and all the models exhibit a universal scaling behavior in the time-reversal dynamics as well as in the time-reversal characteristics, which leads us to a basic understanding of the nature of quantum irreversibility.

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Authors and Affiliations

  1. Yamada Physics Research Laboratory, Aoyama 5-7-14-205, 950-2002, Niigata, Japan

    H. S. Yamada

  2. Department of Physics, Ritsumeikan University, Noji-higashi 1-1-1, 525, Kusatsu, Japan

    K. S. Ikeda

Authors
  1. H. S. Yamada
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  2. K. S. Ikeda
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Correspondence to H. S. Yamada.

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Yamada, H.S., Ikeda, K.S. Time-reversal characteristics of quantum normal diffusion. Eur. Phys. J. B 85, 41 (2012). https://doi.org/10.1140/epjb/e2011-20811-8

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