High order perturbation theory for Nonlinear Anderson Model

TYPENon linear Physics
Speaker:Gal Fleishon
Location:Lidow Nathan Rosen (300)
Remark:MSc Seminar. Supervisor Professor Shmuel Fishman
Abstract:The perturbation expansion for the Nonlinear Shrödinger Equation with a random potential that was developed in earlier works by some of us is extended to higher orders. As the order is increased a solution that is valid for longer time can be found. In particular it is found that Anderson localization persists in the fifth and sixth orders for times when perturbation theory is valid. There are indications that for the sixth order perturbation theory may not be valid.