Subdiffusion in the nonlinear Schrödinger equation with disorder.
The nonlinear Schrödinger equation in the presence of disorder is considered. The dynamics of an initially localized wave packet is studied. A subdiffusive spreading of the wave packet is explained in the framework of a continuous time random walk. A probabilistic description of subdiffusion is suggested, and a transport exponent of subdiffusion is obtained to be 2/5.
Iomin
Alexander
A
Department of Physics, Technion, Haifa, Israel.