Topology and Broken Symmetry in Floquet Systems

By Fenner Harper, Rahul Roy, Mark Rudner, Shiv Sondhi. Annual Review of Condensed Matter Physics, 2019

230 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/866a3464f89cff85c12ac3c1b7fb6f4c24de7cea

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

• Quantum Simulators: Architectures and Opportunities (2019, background): “to stabilize nonequilibrium quantum phases [43]; and enabling error-resilient storage and manipulation of quan-”
• Random Quantum Circuits (2022, methodology): “For localized Floquet dynamics, the system can avoid thermalizing to infinite temperature, allowing for novel dynamical phases such as the Floquet time crystal phase, which spontaneously breaks discrete time-translation symmetry (203, 204), and in 2D the anomalous Floquet insulator, with protected c”