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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In 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.
4 pages, 2 figures, corrected misprint in Eqs (6,7), minor revisions

Keywords

Mesoscale and Nanoscale Physics, Chaotic Dynamics, Quantum Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/97829

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0406135
 http://arxiv.org/abs/cond-mat/0406135
 Phys. Rev. Lett. 93, 154102 (2004)
 doi:10.1103/PhysRevLett.93.154102

Collections

arXiv