A non-Markovian Dissipative Maryland Model
arXiv:1606.04239 · doi:10.1142/S1230161213400015
Abstract
The so-called Maryland model is a linear version of the quantum kicked rotor; it exhibits Anderson localization in momentum space. By turning the kicks into a Markovian stochastic process, the dynamics becomes a dissipative quantum process described by a discrete family of completely positive maps that allows to explicitly study the relation between divisibility of the maps and the degree of memory of the process.
14 pages, 6 figures