Decay of the Loschmidt Echo for quantum states with sub-Planck-scale structures

P Jacquod, I Adagideli, CWJ Beenakker

Research output: Contribution to journalArticleAcademicpeer-review

65 Citations (Scopus)

Abstract

Quantum states extended over a large volume in phase space have oscillations from quantum interferences in their Wigner distribution on scales smaller than ℏ [W. H. Zurek, Nature (London) 412, 712 (2001)]. We investigate the influence of those sub-Planck-scale structures on the sensitivity to an external perturbation of the state’s time evolution. While we do find an accelerated decay of the Loschmidt Echo for an extended state in comparison to a localized wave packet, the acceleration is described entirely by the classical Lyapunov exponent and hence cannot originate from quantum interference.
Original languageEnglish
Article number154103
JournalPhysical review letters
Volume89
Issue number15
DOIs
Publication statusPublished - 7 Oct 2002
Externally publishedYes

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