Coexistence of localized and extended phases: Many-body localization in a harmonic trap
Statistical Mechanics
2020-10-13 v2 Disordered Systems and Neural Networks
Quantum Gases
Strongly Correlated Electrons
Quantum Physics
Abstract
We show that the presence of a harmonic trap may in itself lead to many-body localization for cold atoms confined in that trap in a quasi-one-dimensional geometry. Specifically, the coexistence of delocalized phase in the center of the trap with localized region closer to the edges is predicted with the borderline dependent on the curvature of the trap. The phenomenon, similar in its origin to Stark localization, should be directly observed with cold atomic species. We discuss both the spinless and the spinful fermions, for the latter we address Stark localization at the same time as it has not been analyzed up till now.
Keywords
Cite
@article{arxiv.2004.00954,
title = {Coexistence of localized and extended phases: Many-body localization in a harmonic trap},
author = {Titas Chanda and Ruixiao Yao and Jakub Zakrzewski},
journal= {arXiv preprint arXiv:2004.00954},
year = {2020}
}
Comments
6+2 pages, 7+5 figures. Close to accepted version. Accepted in Phys. Rev. Research