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

2011/12/07 by Christophe Gomez, Gomez, Christophe
Computer Science · Engineering · Physics and Astronomy · #35Q40 #81S30 #82C70 #Analysis of PDEs (math.AP) #Chaos-based Image/Signal Encryption #FOS: Mathematics #Probability (math.PR) #Quantum chaos and dynamical systems #Random lasers and scattering media #Terahertz technology and applications

paper · pdf · doi:10.48550/arxiv.1112.1663

openalex publication_date 2011/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the decoherence of a wave described by the solution\nto a Schroedinger equation with a time-dependent random potential. The random\npotential is assumed to have slowly decaying correlations. The main tool to\nanalyze the decoherence behaviors is a properly rescaled Wigner transform of\nthe solution of the random Schroedinger equation. We exhibit anomalous wave\ndecoherence effects at different propagation scales.\n

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