How well a chaotic quantum system can retain memory of its initial state?V. V. Sokolov1, 2 and O. V. Zhirov1
1 Budker Institute of Nuclear Physics - Novosibirsk, Russia
2 CNISM, CNR-INFM, and Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria Via Valleggio 11, 22100 Como, Italy, EU
received 22 August 2008; accepted in final form 16 September 2008; published November 2008
published online 2 October 2008
In classical mechanics the local exponential instability effaces the memory of initial conditions and leads to practical irreversibility. In striking contrast, quantum mechanics appears to exhibit strong memory of the initial state. We relate the latter fact to the low (at most linear) rate with which the system's Wigner function gets during the evolution a more and more complicated structure and we establish the existence of a critical strength of external influence below which such a memory still survives.
05.45.Mt - Quantum chaos; semiclassical methods.
03.65.Sq - Semiclassical theories and applications.
05.45.Pq - Numerical simulations of chaotic systems.
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