Many-body Anderson localization in one dimensional systems
Quantum Physics
2015-06-05 v2 Disordered Systems and Neural Networks
Quantum Gases
Pattern Formation and Solitons
Abstract
We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the composite particle can be computed analytically for weak disorder and is in good agreement with the quasi-exact numerical observations using Time Evolving Block Decimation. Our approach allows for simulation of the entire experiment including the final measurement of all atom positions.
Cite
@article{arxiv.1207.2001,
title = {Many-body Anderson localization in one dimensional systems},
author = {Dominique Delande and Krzysztof Sacha and Marcin Plodzien and Sanat K. Avazbaev and Jakub Zakrzewski},
journal= {arXiv preprint arXiv:1207.2001},
year = {2015}
}
Comments
12pp, 5 fig, version accepted in NJP