Dresden 2017 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 73: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 2
TT 73.1: Talk
Thursday, March 23, 2017, 15:00–15:15, HSZ 304
Study of dynamical localization in interacting Floquet systems — •Tibor Rakovszky1, Frank Pollmann1, Curt von Keyserlingk2, and Shivaji Sondhi3 — 1Physik-Department, Technische Universität München, D-85748 Garching, Germany — 2Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA — 3Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
Since the seminal work of Fishman, Grempel and Prange on the kicked rotator[1], it is known that periodically driven - otherwise known as Floquet - systems can exhibit ’dynamical localization’: a variant of Anderson localization in which the particle is localized not in real, but in momentum space. In the past decade it became clear that Anderson localization in real space is robust against sufficiently weak interactions, leading to a phenomenon called many-body localization. It is therefore a natural question to ask whether the dynamical localization, exhibited by periodically driven free particles, also has an interacting analogue. In this talk we review recent results regarding this question and compare them to our own results acquired through large-scale numerical simulations.
[1] S. Fishman, D.R. Grempel and R.E. Prange, Phys. Rev. Lett. 49, 509 (1982)