Long-time signatures of short-time dynamics in decaying quantum-chaotic systems.

Phys Rev E Stat Nonlin Soft Matter Phys

Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany.

Published: January 2007

We analyze the decay of classically chaotic quantum systems in the presence of fast ballistic escape routes on the Ehrenfest time scale. For a continuous excitation process, the form factor of the decay cross section deviates from the universal random-matrix result on the Heisenberg time scale, i.e., for times much larger than the time for ballistic escape. We derive an exact analytical description and compare our results with numerical simulations for a dynamical model.

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http://dx.doi.org/10.1103/PhysRevE.75.016217DOI Listing

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