Wavepacket dynamics, quantum reversibility, and random matrix theory

Moritz Hiller, Doron Cohen, Theo Geisel, Tsampikos Kottos

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We introduce and analyze the physics of "driving reversal" experiments. These are prototype wavepacket dynamics scenarios probing quantum irreversibility. Unlike the mostly hypothetical "time reversal" concept, a "driving reversal" scenario can be realized in a laboratory experiment, and is relevant to the theory of quantum dissipation. We study both the energy spreading and the survival probability in such experiments. We also introduce and study the "compensation time" (time of maximum return) in such a scenario. Extensive effort is devoted to figuring out the capability of either linear response theory or random matrix theory (RMT) to describe specific features of the time evolution. We explain that RMT modeling leads to a strong non-perturbative response effect that differs from the semiclassical behavior.

Original languageEnglish
Pages (from-to)1025-1062
Number of pages38
JournalAnnals of Physics
Volume321
Issue number5
DOIs
StatePublished - 1 May 2006

Keywords

  • Quantum chaos
  • Quantum dissipation
  • Random matrix theory

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