Abstract
Abstract We study semiclassically the quantum non-escape probability of a wavepacket initially localized in spatial region Ω , in an open system with fully chaotic classical limit. We show that at time t , the classically diffusive exponential decay is suppressed in leading order of ℏ by the quantum localization due to periodic orbits of period 2 t that are passing through Ω . Each contributing periodic orbit is weighted by the probability density of the initial wave packet along the periodic orbit and a prefactor which counts the stability of the periodic orbit. We argue that the periodic orbits correction will give non-trivial fluctuations superimposed on the monotonic exponential decay at small time and gives arise to anomalous slow decay at large time.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
