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Wave Decoherence for the Random Schroedinger Equation with Long-Range Correlations

Abstract

In this paper, we study the decoherence of a wave described by the solution to a Schroedinger equation with a time-dependent random potential. The random potential is assumed to have slowly decaying correlations. The main tool to analyze the decoherence behaviors is a properly rescaled Wigner transform of the solution of the random Schroedinger equation. We exhibit anomalous wave decoherence effects at different propagation scales.Comment: 29 pages, 5 figures. arXiv admin note: text overlap with arXiv:1110.330

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    Last time updated on 11/11/2016