Many body dynamical localization and thermalization in coupled kicked rotors

Abstract

Due to the absence of conservation of energy in periodically driven systems with interactions they are expected to heat up indefinitely. We have shown that this is not generally the case with the help of three types of interactions in the kicked rotor model. We can achieve a transition between dynamical localisation and delocalisation by varying some parameters in the system. These systems show similar dynamics in momentum space on comparing it with impurity models in position space, this can be explained via a map between coupled kicked rotors and impurity lattice model in momentum space.