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

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