Quantum-to-classical crossover of quasi-bound states in open quantum systems

dc.creatorSchomerus, Henning
dc.creatorTworzydlo, Jakub
dc.date2004-06-07
dc.date2004-09-01
dc.date.accessioned2026-07-07T06:28:49Z
dc.date.available2026-07-07T06:28:49Z
dc.descriptionIn the semiclassical limit of open ballistic quantum systems, we demonstrate the emergence of instantaneous decay modes guided by classical escape faster than the Ehrenfest time. The decay time of the associated quasi-bound states is smaller than the classical time of flight. The remaining long-lived quasi-bound states obey random-matrix statistics, renormalized in compliance with the recently proposed fractal Weyl law for open systems [W. T. Lu, S. Sridhar, and M. Zworski, Phys. Rev. Lett. 91, 154101 (2003)]. We validate our theory numerically for a model system, the open kicked rotator.
dc.description4 pages, 2 figures, corrected misprint in Eqs (6,7), minor revisions
dc.identifierhttps://arxiv.org/abs/cond-mat/0406135
dc.identifierhttp://arxiv.org/abs/cond-mat/0406135
dc.identifierPhys. Rev. Lett. 93, 154102 (2004)
dc.identifierdoi:10.1103/PhysRevLett.93.154102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97829
dc.subjectMesoscale and Nanoscale Physics
dc.subjectChaotic Dynamics
dc.subjectQuantum Physics
dc.titleQuantum-to-classical crossover of quasi-bound states in open quantum systems
dc.typetext

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