Wavepacket dynamics in energy space, RMT and quantum-classical correspondence

Doron Cohen; Felix M. Izrailev; Tsampikos Kottos

doi:10.1103/physrevlett.84.2052

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arXiv · chao-dyn/9909015

Wavepacket dynamics in energy space, RMT and quantum-classical correspondence

Doron Cohen·Felix M. Izrailev·Tsampikos Kottos

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Abstract

We apply random-matrix-theory (RMT) to the analysis of evolution of wavepackets in energy space. We study the crossover from ballistic behavior to saturation, the possibility of having an intermediate diffusive behavior, and the feasibility of strong localization effect. Both theoretical considerations and numerical results are presented. Using quantal-classical correspondence (QCC) considerations we question the validity of the emerging dynamical picture. In particular we claim that the appearance of the intermediate diffusive behavior is possibly an artifact of the RMT strategy.

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Doron Cohen, Felix M. Izrailev, Tsampikos Kottos. 2000-01-07. Wavepacket dynamics in energy space, RMT and quantum-classical correspondence. https://doi.org/10.1103/physrevlett.84.2052

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