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Phys. Rev. E 75, 016217 (2007) [4 pages]

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

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T. Gorin and D. F. Martinez
Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany

H. Schomerus
Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom

Received 29 June 2006; published 25 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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.75.016217
DOI:
10.1103/PhysRevE.75.016217
PACS:
05.45.Mt, 03.65.Nk, 03.65.Sq