Berlin 2018 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 2: Focus Session: Recent Developments in Computational Many Body Physics (joint session TT/DY)

TT 2.2: Hauptvortrag

Montag, 12. März 2018, 10:00–10:30, H 0104

Computational Approaches to Many-Body Localization — •David J. Luitz — Physik Department T42, Technische Universität München, Germany

In the past decade, enormous progress has been made in the understanding of the phenomenon of many-body localization, a dynamical phase of matter in strongly disordered interacting quantum systems far from equilibrium. In particular, the understanding of the phase transition from an extended phase at weak disorder to a localized phase at strong disorder relies heavily on state of the art numerical studies. The numerically accessible system sizes have recently been increased substantially by the introduction of advanced exact numerical techniques: Exact sparse diagonalization as well as matrix product state (MPS) techniques permit the calculation of highly excited eigenstates of the system, whereas exact Krylov space time evolution methods and MPS time evolution methods can be used to study the nonequilibrium dynamics in generic many-body systems. I will give a short survey of current exact numerical techniques (cf [1] for a detailed discussion) to study the MBL phase as well as the transition regime and highlight some results obtained by these approaches.
D. J. Luitz, Y. Bar Lev, Annalen der Physik 529, 1600350 (2017)