Decay of the Loschmidt echo for quantum states with sub-planck-scale structures.

Quantum states extended over a large volume in phase space have oscillations from quantum interferences in their Wigner distribution on scales smaller than variant Planck's over 2pi [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.

• Publication year

  2002

• Venue

  Physical Review Letters

• Publication date

  2002-03-26

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.89.154103arXiv nlin/0203052PMID 12365991
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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