Wave Decoherence for the Random Schroedinger Equation with Long-Range Correlations
Analysis of PDEs
2012-06-25 v2 Probability
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.
Cite
@article{arxiv.1112.1663,
title = {Wave Decoherence for the Random Schroedinger Equation with Long-Range Correlations},
author = {Christophe Gomez},
journal= {arXiv preprint arXiv:1112.1663},
year = {2012}
}
Comments
29 pages, 5 figures. arXiv admin note: text overlap with arXiv:1110.3301