Quantum dynamics against a noisy backgroundV. V. Sokolov1, 2, O. V. Zhirov1, 3 and Y. A. Kharkov1, 3
1 Budker Institute of Nuclear Physics - Novosibirsk 630090, Russia
2 Novosibirsk Technical University - Novosibirsk, Russia
3 Novosibirsk State University - Novosibirsk 630090, Russia
received 23 September 2009; accepted in final form 22 November 2009; published December 2009
published online 22 December 2009
By the example of a kicked quartic oscillator we investigate the dynamics of classically chaotic quantum systems with few degrees of freedom affected by persistent external noise. Stability and reversibility of the motion are analyzed in detail in dependence on the noise level . The critical level , below which the response of the system to the noise remains weak, is studied vs. the evolution time. In the regime with the Ehrenfest time interval tE so short that the classical Lyapunov exponential decay of the Peres fidelity does not show up the time dependence of this critical value is proved to be power-like. We estimate also the decoherence time after which the motion turns into a Markovian process.
05.45.Mt - Quantum chaos; semiclassical methods.
05.45.Pq - Numerical simulations of chaotic systems.
© EPLA 2009