Journal of Siberian Federal University. Mathematics & Physics / Quantum Chaos Versus Noise Environment

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Issue
Journal of Siberian Federal University. Mathematics & Physics. 2010 3 (3)
Authors
Kharkov, Yaroslav A.; Sokolov, Valentin V.; Zhirov, Oleg V.
Contact information
Kharkov, Yaroslav A. : Budkers Institute of Nuclear Physics, Novosibirsk State University , Lavrentyev 11, Novosibirsk, 630090, Russia , e-mail: ; Sokolov, Valentin V. : Budkers Institute of Nuclear Physics, Novosibirsk State University , Lavrentyev 11, Novosibirsk, 630090, Russia; Zhirov, Oleg V. : Budkers Institute of Nuclear Physics, Novosibirsk State University , Lavrentyev 11, Novosibirsk, 630090, Russia
Keywords
quantum chaos; Wigner function; Fidelity; stability; reversibility; markov's chain; entropy; purity
Abstract

Quantum dynamics of a classically chaotic 1D system in the presence of external noise is studied. Stability and reversibility properties of the motion (characterized by the Peres fidelity) as functions of the noise level σ are considered. We calculate fidelity analytically in the cases of weak and very strong noise and find critical value, σc(t), below which the effect of perturbation remains small. Decay of critical perturbation with time is found to be power-like after the Ehrenfest time tE. An estimation of the decoherence time td(σ) is presented after which the averaged density matrix becomes diagonal and its evolution turns into a Markovian process.

Pages
303-310
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1730