Quantum continuous time random walk in nonlinear Schrödinger equation with disorder

A. Iomin

Chaos, Solitons & Fractals, 2016, vol. 93, issue C, 64-70

Abstract: A quantum nonlinear Schrödinger equation in the presence of disorder is considered. The dynamics of an initially localized wave packet is studied and subdiffusion of the wave packet is obtained with a transport exponent 1/2. It is shown that this transport exponent has pure quantum nature. A probabilistic description of subdiffusion in the framework of a quantum continuous time random walk is suggested and a quantum master equation is obtained.

Keywords: Quantum nonlinear Schrödinger equation; Liouville equation; Quantum continuous time random walk; Quantum four-mode decay; Fractional Fokker-Planck equation; Subdiffusion (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:93:y:2016:i:c:p:64-70

DOI: 10.1016/j.chaos.2016.09.026

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