Dynamical Origin of Decoherence in Clasically Chaotic Systems

Details Dynamical Origin of Decoherence in Clasically Chaotic Systems Dynamical Origin of Decoherence in Clasically Chaotic Systems

2000-02-14

arxiv.org/abs/cond-mat/0002207v3

Physica A, 283 (2000) p.285-289

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Typos corrected, published version

Scientific paper

10.1016/S0378-4371(00)00169-2

The decay of the overlap between a wave packet evolved with a Hamiltonian H and the same state evolved with H}+$\Sigma $ serves as a measure of the decoherence time $\tau_{\phi}$. Recent experimental and analytical evidence on classically chaotic systems suggest that, under certain conditions, $\tau_{\phi}$ depends on H but not on $\Sigma $. By solving numerically a Hamiltonian model we find evidence of that property provided that the system shows a Wigner-Dyson spectrum (which defines quantum chaos) and the perturbation exceeds a crytical value defined by the parametric correlations of the spectra.

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