Abstract: The nonlinear Schroedinger equation (NLSE) 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 1/3. This problem is relevant to experiments in nonlinear optics, for example disordered photonic lattices, where Anderson localization was found in the presence of nonlinear effects, as well as to experiments on Bose-Einstein condensates in disordered optical lattices.

Brief Biography of the Speaker:
Dr. Alexander Iomin graduated from Krasnoyarsk State University(USSR) in 1978 and started to work at the theoretical department of the Kirensky Institute of Physics of the USSR Academy of Sciences. In 1988 he successfully defended his dissertation (Ph.D) in the field of quantum chaos. Since 1991 he works at the Technion - Israel Institute of Technology at the Department of Physics as a researcher and since 1998 as a senior researcher. The main scientific interests are: Quantum Chaos, Classical and Quantum Chaos in Mesoscopic Systems, Fractional Diffusion and Quantum Dynamics, Fractional Transport in Biological Systems.