Abstract
We study theoretically the long time asymptotic of a quantum particle moving in a random time-dependent potential with finite correlation time, in . By applying a new unitary numerical scheme we first show the minor importance of quantum interference and then derive an effective Langevin-type equation for the corresponding clasical problem in the limit of weak potential. We find that on intermediate time scales , while the true long time asymptotic is determined by a new friction term, which gives rise to a stationary power law velocity distribution, multifractality of the velocity moments, and a slowing down of the superdiffusive behavior.
- Received 25 August 1994
DOI:https://doi.org/10.1103/PhysRevLett.74.1895
©1995 American Physical Society