Anomalous power law of quantum reversibility for classically regular dynamics

Philippe Jacquod, I Adagideli, CWJ Beenakker

Research output: Contribution to journalArticleAcademicpeer-review

40 Citations (Scopus)

Abstract

The Loschmidt Echo M(t) (defined as the squared overlap of wave packets evolving with two slightly different Hamiltonians) is a measure of quantum reversibility. We investigate its behavior for classically quasi-integrable systems. A dominant regime emerges where M(t) ∝ t−α with α = 3d/2 depending solely on the dimension d of the system. This power law decay is faster than the result ∝ td for the decay of the overlap of classical phase space densities.
Original languageEnglish
Article number729
JournalEurophysics letters
Volume61
Issue number6
DOIs
Publication statusPublished - 16 Jan 2003
Externally publishedYes

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