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

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dc.creatorJacquod, Ph.
dc.creatorAdagideli, I.
dc.creatorBeenakker, C. W. J.
dc.date2002-03-26
dc.date2002-08-23
dc.date.accessioned2026-07-07T05:34:00Z
dc.date.available2026-07-07T05:34:00Z
dc.descriptionQuantum states extended over a large volume in phase space have oscillations from quantum interferences in their Wigner distribution on scales smaller than $\hbar$ [W.H. Zurek, Nature {\bf 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 wavepacket, the acceleration is described entirely by the classical Lyapunov exponent and hence cannot originate from quantum interference.
dc.description4 pages, 2 figures; accepted for publication in Physical Review Letters
dc.identifierhttps://arxiv.org/abs/nlin/0203052
dc.identifierhttp://arxiv.org/abs/nlin/0203052
dc.identifierPhys.Rev.Lett. 89, 154103 (2002)
dc.identifierdoi:10.1103/PhysRevLett.89.154103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80203
dc.subjectChaotic Dynamics
dc.subjectCondensed Matter
dc.subjectQuantum Physics
dc.titleDecay of the Loschmidt Echo for quantum states with sub-Planck scale structures
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