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Scar states in deconfined Z2 lattice gauge theories

Adith Sai Aramthottil1, Utso Bhattacharya2, Daniel González-Cuadra2,3,4, Maciej Lewenstein2,5, Luca Barbiero6,2, and Jakub Zakrzewski1,7

  • 1Instytut Fizyki Teoretycznej, Uniwersytet Jagielloński, Łojasiewicza 11, PL-30-348 Kraków, Poland
  • 2ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, Avenida Carl Friedrich Gauss 3, E-08860 Castelldefels (Barcelona), Spain
  • 3Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria
  • 4Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck, Austria
  • 5ICREA, Passeig Lluis Companys 23, E-08010 Barcelona, Spain
  • 6Institute for Condensed Matter Physics and Complex Systems, DISAT, Politecnico di Torino, I-10129 Torino, Italy
  • 7Mark Kac Complex Systems Research Center, Uniwersytet Jagielloński, Kraków PL-30-348, Poland

Phys. Rev. B 106, L041101 – Published 1 July, 2022

DOI: https://doi.org/10.1103/PhysRevB.106.L041101

Abstract

The weak ergodicity breaking induced by quantum many-body scars (QMBSs) represents an intriguing concept that has received great attention in recent years due to its relation to unusual nonequilibrium behavior. Here, we reveal that this phenomenon can occur in a particular regime of a lattice gauge theory, where QMBSs emerge due to the presence of an extensive number of local constraints. In particular, by analyzing the gauged Kitaev model, we provide an example where QMBSs appear in a regime where charges are deconfined. By means of both numerical and analytical approaches, we find a variety of scarred states far away from the regime where the model is integrable. The presence of these states is revealed both by tracing them directly from the analytically reachable limit, as well as by quantum quenches showing persistent oscillations for specific initial states.

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