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Topology and Broken Symmetry in Floquet Systems
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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, they can exhibit a variety of nontrivial behavior---some of it impossible in undriven systems. In this review we describe the main ideas and themes of this work: novel Floquet drives which 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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Cited by 4 Pith papers
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Long-Range Prethermal Phases of Nonequilibrium Matter
The paper proves, with one explicit assumption in the intermediate regime, that prethermal Floquet phases exist for power-law interacting systems with exponent alpha > d, and predicts a disorder-free one-dimensional p...
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Effective response theory for Floquet topological systems
The topological response of 2D chiral Floquet drives is a Schwinger-Keldysh theta term with coefficient Θ(α) = π(1 - tanh(α/2)), quantized by particle-hole symmetry.
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Locality and Heating in Periodically Driven, Power-law Interacting Systems
Power-law interacting, periodically driven systems exhibit heating times exponential in drive frequency for alpha > D in linear response and alpha > 2D in general, with the gap attributed to the absence of tight Lieb-...
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Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
A review of Floquet topological insulators, covering drive-engineered band topology, anomalous edge states with trivial bulk Chern numbers, and the prethermal, MBL, and bath-engineering routes to stable driven phases.
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