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

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

2011-12-07

arxiv.org/abs/1112.1663v1

Mathematics

Analysis of PDEs

23 pages, 5 figures

Scientific paper

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.

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