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Entropy 2004, 6(1), 133-152; doi:10.3390/e6010133
Article

Delocalization and Sensitivity of Quantum Wavepacket in Coherently Perturbed Kicked Anderson Model

Received: 2 July 2003; Accepted: 20 December 2003 / Published: 21 March 2004
(This article belongs to the Special Issue Quantum Limits to the Second Law of Thermodynamics)
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Abstract: We consider quantum diffusion of the initially localized wavepacket in one-dimensional kicked disordered system with classical coherent perturbation. The wavepacket localizes in the unperturbed kicked Anderson model. However, the wavepacket get delocalized even by coupling with monochromatic perturbation. We call the state "dynamically delocalized state". It is numerically shown that the delocalized wavepacket spread obeying diffusion law, and the perturbation strength dependence of the diffusion rate is given. The sensitivity of the delocalized state is also shown by the time-reversal experiment after random change in phase of the wavepacket. Moreover, it is found that the diffusion strongly depend on the initial phase of the perturbation. We discuss a relation between the "classicalization" of the quantum wave packet and the time-dependence of the initial phase dependence. The complex structure of the initial phase dependence is related to the entropy production in the quantum system.
Keywords: localization; delocalization; quantum diffusion; scaling; time irreversibility; phase sensitivity; dissipation localization; delocalization; quantum diffusion; scaling; time irreversibility; phase sensitivity; dissipation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Yamada, H. Delocalization and Sensitivity of Quantum Wavepacket in Coherently Perturbed Kicked Anderson Model. Entropy 2004, 6, 133-152.

AMA Style

Yamada H. Delocalization and Sensitivity of Quantum Wavepacket in Coherently Perturbed Kicked Anderson Model. Entropy. 2004; 6(1):133-152.

Chicago/Turabian Style

Yamada, Hiroaki. 2004. "Delocalization and Sensitivity of Quantum Wavepacket in Coherently Perturbed Kicked Anderson Model." Entropy 6, no. 1: 133-152.


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