Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 31: Many-body Systems: Equilibration, Chaos and Localization II (joint session DY/TT)
DY 31.11: Talk
Wednesday, March 18, 2020, 12:15–12:30, HÜL 186
Disorder-free localization in an interacting two-dimensional lattice gauge theory — •Petr Karpov1,2, Roberto Verdel1, Yi-Ping Huang1,3, Markus Schmitt1,4, and Markus Heyl1 — 1Max Planck Institute for the Physics of Complex Systems, Noethnitzer Str. 38, Dresden 01187, Germany — 2National University of Science and Technology “MISiS”, Moscow, Russia — 3The Paul Scherrer Institute, Forschungsstrasse 111, 5232 Villigen, Switzerland — 4University of California, Berkeley, California 94720, USA
Recently, disorder-free localization has been introduced as a new mechanism for ergodicity breaking in homogeneous systems caused by local constraints imposed by gauge invariance [1,2]. Here, we show that disorder-free localization can occur in genuinely interacting systems in two spatial dimensions. Specifically, we show that the quantum link model can become nonergodic by providing a strict bound on the localization-delocalization transition through an unconventional classical percolation problem. We investigate the quantum dynamics in this system by means of an improved classical network description [3] endowed with a time-dependent variational principle.
[1] A. Smith, J. Knolle, D.L. Kovrizhin, and R. Moessner, Phys. Rev. Lett. 118, 266601 (2017).
[2] M. Brenes, M. Dalmonte, M. Heyl, and A. Scardicchio, Phys. Rev. Lett. 120, 030601 (2018).
[3] M. Schmitt and M. Heyl, SciPost Phys. 4, 013 (2018).