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Regensburg 2016 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 64: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 1

TT 64.1: Talk

Thursday, March 10, 2016, 09:30–09:45, H22

Efficient numerical simulations of many-body localized systems — •Frank Pollmann1, Vedika Khemani2, and Shivaji Sondhi121Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany — 2Physics Department, Princeton University, Princeton, NJ 08544, USA

Many-body localization (MBL) occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions. To understand this phenomenon, the development of new, efficient numerical methods to find highly excited eigenstates is essential. We introduce a variant of the density-matrix renormalization group (DMRG) method that obtains individual highly excited eigenstates of MBL systems to machine precision accuracy at moderate-large disorder. This method explicitly takes advantage of the local spatial structure characterizing MBL eigenstates.

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