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

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.

4 pages, 4 figures, improved version, to be published in Phys. Rev. Lett

References in corpus (5)

• Quantum Ergodicity and Localization in Conservative Systems: the Wigner Band Random Matrix Model
• Quantum dissipation due to the interaction with chaotic degrees-of-freedom and the correspondence principle
• Quantum-Classical Correspondence in Energy Space: Two Interacting Spin-Particles
• Evolution of wave packets in quasi-1D and 1D random media: diffusion versus localization
• Periodic Orbits, Breaktime and Localization

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