Dresden 2020 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 36: Many-body Systems: Equilibration, Chaos and Localization II (joint session DY/TT)

TT 36.11: Talk

Wednesday, March 18, 2020, 12:15–12:30, HÜL 186

Disorder-free localization in an interacting two-dimensional lattice gauge theory — •Petr Karpov^1,2, Roberto Verdel¹, Yi-Ping Huang^1,3, Markus Schmitt^1,4, 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).