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On the Problem of Dynamical Localization in the Nonlinear Schrödinger Equation with a Random Potential

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Abstract

We prove a dynamical localization in the nonlinear Schrödinger equation with a random potential for times of the order of O(β −2), where β is the strength of the nonlinearity.

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Authors and Affiliations

  1. Physics Department, Technion—Israel Institute of Technology, Haifa, 32000, Israel

    Shmuel Fishman & Yevgeny Krivolapov

  2. Mathematics Department, Rutgers University, New-Brunswick, NJ, 08903, USA

    Avy Soffer

  3. Mathematics Department, Weizmann Institute, Rehovot, 76100, Israel

    Avy Soffer

Authors
  1. Shmuel Fishman
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  2. Yevgeny Krivolapov
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  3. Avy Soffer
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Corresponding author

Correspondence to Yevgeny Krivolapov.

Additional information

A. Soffer is a Weston fellow.

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Fishman, S., Krivolapov, Y. & Soffer, A. On the Problem of Dynamical Localization in the Nonlinear Schrödinger Equation with a Random Potential. J Stat Phys 131, 843–865 (2008). https://doi.org/10.1007/s10955-007-9472-0

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  • DOI: https://doi.org/10.1007/s10955-007-9472-0

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