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Journal Club for Condensed Matter Physics

Many-body localization of cold 40K atoms

Published Apr 29, 2015• 0 citations
Publisher

Abstract

Observation of many-body localization of interacting fermions in a quasi-random optical lattice. Authors: Michael Schreiber, Sean S. Hodgman, Pranjal Bordia, Henrik P. Lu ?schen, Mark H. Fischer, Ronen Vosk, Ehud Altman, Ulrich Schneider, and Immanuel Bloch. arXiv:1501.05661 Recommended with a commentary by L. I. Glazman, Yale University. |View Commentary| DOI: 10.36471/JCCM_April_2015_03 https://doi.org/10.36471/JCCM_April_2015_03

DOI
10.36471/jccm_april_2015_03

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Motivated by experiments in Munich [M. Schreiber et al., Science 349, 842 (2015).], 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 nonequilibrium quantum physics.