Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo

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dc.creatorJacquod, Ph.
dc.creatorSilvestrov, P. G.
dc.creatorBeenakker, C. W. J.
dc.date2001-07-19
dc.date2001-08-27
dc.date.accessioned2026-07-07T05:33:36Z
dc.date.available2026-07-07T05:33:36Z
dc.descriptionThe overlap of two wave functions evolving in time with slightly different Hamiltonians decays exponentially, for perturbation strengths greater than the level spacing. We present numerical evidence for a dynamical system that the decay rate is given by the smallest of the Lyapunov exponent of the classical chaotic dynamics and the level broadening that follows from the golden rule of quantum mechanics. This limits the range of validity for the perturbation-strength independent decay rate discovered by Jalabert and Pastawski [Phys. Rev. Lett. 86, 2490 (2001)].
dc.description4 pages, 4 .eps figures
dc.identifierhttps://arxiv.org/abs/nlin/0107044
dc.identifierhttp://arxiv.org/abs/nlin/0107044
dc.identifierPhys. Rev. E 64, 055203(R) (2001).
dc.identifierdoi:10.1103/PhysRevE.64.055203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80055
dc.subjectChaotic Dynamics
dc.subjectMesoscale and Nanoscale Physics
dc.titleGolden rule decay versus Lyapunov decay of the quantum Loschmidt echo
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