Journal
PHYSICAL REVIEW E
Volume 85, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.85.046218
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Funding
- Israel Science Foundation (ISF)
- US-Israel Binational Science Foundation (BSF)
- Minerva Center of Nonlinear Physics of Complex Systems
- New York Metropolitan Research Fund
- Shlomo Kaplansky academic chair
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For the nonlinear Shrodinger equation with disorder it was found numerically that in some regime of the parameters Anderson localization is destroyed and subdiffusion takes place for a long time interval. It was argued that the nonlinear term acts as random noise. In the present work, the properties of this effective noise are studied numerically. Some assumptions made in earlier work were verified, and fine details were obtained. The dependence of various quantities on the localization length of the linear problem were computed. A scenario for the possible breakdown of the theory for a very long time is outlined.
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