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.
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