Dynamics of pattern-loaded fermions in bichromatic optical lattices
Abstract
Motivated by experiments in Munich (M. Schreiber et. al. Science \textbf{349}, 842), we study the dynamics of interacting fermions initially prepared in charge density wave states in one-dimensional bichromatic optical lattices. The experiment sees a marked lack of thermalization, which has been taken as evidence for an interacting generalization of Anderson localization, dubbed "many-body localization". We model the experiments using an interacting Aubry-Andre model and develop a computationally efficient low-density cluster expansion to calculate the even-odd density imbalance as a function of interaction strength and potential strength. Our calculations agree with the experimental results and shed light on the phenomena. We also explore a two-dimensional generalization. The cluster expansion method we develop should have broad applicability to similar problems in non-equilibrium quantum physics.
Keywords
Cite
@article{arxiv.1508.00472,
title = {Dynamics of pattern-loaded fermions in bichromatic optical lattices},
author = {Matthew Reichl and Erich Mueller},
journal= {arXiv preprint arXiv:1508.00472},
year = {2016}
}
Comments
8 pages, 5 figures; new figures showing direct comparison to experimental data and t-DMRG simulations, modified discussion of convergence properties of cluster expansion; construction of local integrals of motion