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arXiv · 1508.00472

Dynamics of pattern-loaded fermions in bichromatic optical lattices

Matthew Reichl·Erich Mueller
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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.

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Matthew Reichl, Erich Mueller. 2016-03-23. Dynamics of pattern-loaded fermions in bichromatic optical lattices. https://doi.org/10.1103/physreva.93.031601

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