<Article>Quantum Chaos and Effects of Quantum Correction, Noise, and Nonlinear Coupling in Quantum Kicked Rotator

概要

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We will demonstrate effects of quantum correction on a classical system using our modified standard map in a semiclassical approximation, in which 1) addition of our quantum correction to a classical system causes a chaotic behavior of the classical system to be interrupted and oppositely the classical system in a chaotic behavior causes the whole corrected system to exhibit its characteristic features, e.g., quantum interference, as if it is subject to random noise, such behaviors having been partly found by Casati et al. We will further demonstrate effects of noise and a nonlinear coupling term on the corrected system in which 2) addition of noise to the corrected system causes the system to restore the chaotic behavior even after once interrupted in its chaotic behavior owing to the incorporation of our quantum correction; and 3) addition of nonlinear coupling term to the system likewise causes the system to restore the classical chaotic behavior, but is different in the behavior from the case of the addition of noise. Our results collect supporting evidence for the existence of the quantum chaos which has been partly investigated by Casati et al. and others as referred to above and elsewhere.
日本医科大学の論文
1998-12-31