2015/08/31 by Matthew D. Reichl, Matthew Reichl, Erich J. Mueller +1 · 9 citations
Mathematics · Physics and Astronomy · #Anderson localization #Charge (physics) #Charge density wave #Cluster (spacecraft) #Cluster expansion #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Function (biology) #Generalization #Mathematical analysis #Mathematics #Non-equilibrium thermodynamics #Physics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #Thermalisation #Wave function #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.93.031601
published in Physical Review A 93(3) (American Physical Society) · 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
openalex publication_date 2016/03/11 · arxiv created 2016/03/23 · arxiv updated 2016/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.