Return probability: Exponential versus Gaussian decay

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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9 pages, 7 figures; revised version accepted for publication

Scientific paper

10.1016/j.physleta.2005.10.077

We analyze, both analytically and numerically, the time-dependence of the return probability in closed systems of interacting particles. Main attention is paid to the interplay between two regimes, one of which is characterized by the Gaussian decay of the return probability, and another one is the well known regime of the exponential decay. Our analytical estimates are confirmed by the numerical data obtained for two models with random interaction. In view of these results, we also briefly discuss the dynamical model which was recently proposed for the implementation of a quantum computation.

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