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Topology and Broken Symmetry in Floquet Systems
- Fenner Harper1, Rahul Roy1, Mark S. Rudner2, and S.L. Sondhi3
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View Affiliations Hide AffiliationsAffiliations: 1Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA 2Center for Quantum Devices and Niels Bohr International Academy, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen, Denmark 3Department of Physics, Princeton University, Princeton, New Jersey 08544, USA; email: [email protected]
- Vol. 11:345-368 (Volume publication date March 2020) https://doi.org/10.1146/annurev-conmatphys-031218-013721
- First published as a Review in Advance on December 03, 2019
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Copyright © 2020 by Annual Reviews. All rights reserved
Abstract
Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However, this unhappy state of affairs can be avoided in many ways. Instead, as has become clear from much recent work, Floquet systems can exhibit a variety of nontrivial behavior—some of which is impossible in undriven systems. In this review, we describe the main ideas and themes of this work: novel Floquet drives that exhibit nontrivial topology in single-particle systems, the existence and classification of exotic Floquet drives in interacting systems, and the attendant notion of many-body Floquet phases and arguments for their stability to heating.
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