Spreading for the generalized nonlinear Schroedinger equation with disorder

Abstract

The dynamics of an initially localized wavepacket is studied for the generalized nonlinear Schroedinger Equation with a random potential, where the nonlinearity term is |ψ|^p*ψand "p" is arbitrary. Mainly short times for which the numerical calculations can be performed accurately are considered. Long time calculations are presented as well. In particular the subdiffusive behavior where the average second moment of the wavepacket is of the form <m_{2}>~t^a is computed. Contrary to former heuristic arguments, no evidence for any critical behavior as function of "p" is found. The properties of α(t) are explored.

8 pages, 3 figures, submitted to Phys. Rev. E

References in corpus (6)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Destruction of Anderson localization by a weak nonlinearity
• Universal spreading of wavepackets in disordered nonlinear systems
• Delocalization of wave packets in disordered nonlinear chains
• Superfluidity versus Anderson localization in a dilute Bose gas
• Perturbation theory for the Nonlinear Schroedinger Equation with a random potential

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