Many-body dynamical localisation of coupled quantum kicked rotors
Mesoscale and Nanoscale Physics
2019-01-29 v1 Disordered Systems and Neural Networks
Abstract
The quantum motion of coupled kicked rotors is mapped to an interacting -particle Anderson-Aubry-Andr tight-binding problem supporting many-body localised (MBL) phases. Interactions in configuration space are known to be insufficient for destroying Anderson localisation in a system in the MBL phase. The mapping we establish here predicts that a similar effect takes place in momentum space and determines the quantum dynamics of the coupled kicked rotors. Due to the boundedness of the Floquet quasi-energy spectrum there exists limitations on the interacting lattice models that can be mapped to quantum kicked rotors; in particular, no extensive observable can be mapped in the thermodynamic limit.
Keywords
Cite
@article{arxiv.1901.09362,
title = {Many-body dynamical localisation of coupled quantum kicked rotors},
author = {L. A. Toikka and A. Andreanov},
journal= {arXiv preprint arXiv:1901.09362},
year = {2019}
}