Floquet States

Abstract

Quantum systems driven by a time-periodic field are a platform of condensed matter physics where effective (quasi)stationary states, termed "Floquet states", can emerge with external-field-dressed quasiparticles during driving. They appear, for example, as a prethermal intermediate state in isolated driven quantum systems or as a nonequilibrium steady state in driven open quantum systems coupled to environment. Floquet states may have various intriguing physical properties, some of which can be drastically different from those of the original undriven systems in equilibrium. In this article, we review fundamental aspects of Floquet states, and discuss recent topics and applications of Floquet states in condensed matter physics.

arXiv comment12 pages, 6 figures, prepared for Encyclopedia of Condensed Matter Physics, 2nd edition; minor revision is made

References in corpus (75)

• Topological Photonics
• Photonic Floquet Topological Insulators
• Experimental realisation of the topological Haldane model
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Photovoltaic Hall effect in graphene
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Topological characterization of periodically-driven quantum systems
• Atomic quantum gases in periodically driven optical lattices
• The Magnus expansion and some of its applications
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations
• Floquet Engineering of Quantum Materials
• Floquet Time Crystals
• On the phase structure of driven quantum systems
• Light-induced anomalous Hall effect in graphene
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Nonequilibrium dynamical mean-field theory and its applications
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Quantum simulation of frustrated magnetism in triangular optical lattices
• Dynamical control of matter-wave tunneling in periodic potentials
• Real-time observation of interfering crystal electrons in high-harmonic generation
• Observation of topologically protected bound states in a one dimensional photonic system
• Discrete time crystals: rigidity, criticality, and realizations
• Equilibrium states of generic quantum systems subject to periodic driving
• Observation of photonic anomalous Floquet Topological Insulators
• Long-time behavior of periodically driven isolated interacting lattice systems
• Many-body localization in periodically driven systems
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Superfluid-insulator transition in a periodically driven optical lattice
• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Fate of many-body localization under periodic driving
• Selective scattering between Floquet-Bloch and Volkov states in a topological insulator
• Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Periodic Table for Floquet Topological Insulators
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• Modeling spontaneous breaking of time-translation symmetry
• Periodically driven ergodic and many-body localized quantum systems
• Nonequilibrium dynamical mean-field theory
• A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
• Equilibration and Order in Quantum Floquet Matter
• Topology and Broken Symmetry in Floquet Systems
• Universal Lindblad equation for open quantum systems
• Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism
• A theory of many-body localization in periodically driven systems
• Tailoring quantum gases by Floquet engineering
• Dissipative Floquet Topological Systems
• Exotic Freezing of Response in Quantum Many-Body System
• Nonequilibrium steady states and transient dynamics of conventional superconductors under phonon driving
• Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
• Nonequilibrium Steady State of Photoexcited Correlated Electrons in the Presence of Dissipation
• Observation of Floquet states in a strongly driven artificial atom
• Floquet States in Open Quantum Systems
• Heating-Induced Long-Range $\eta$-Pairing in the Hubbard Model
• Onset of Floquet Thermalisation
• Dynamical sign reversal of magnetic correlations in dissipative Hubbard models
• Steady-state nonequilibrium density of states of driven strongly correlated lattice models in infinite dimensions
• Collective Excitations and Nonequilibrium Phase Transition in Dissipative Fermionic Superfluids
• Effective Floquet-Gibbs states for dissipative quantum systems
• General description for nonequilibrium steady states in periodically driven dissipative quantum systems
• Wannier representation of Floquet topological states
• Floquet topological phase transitions in a periodically quenched dimer
• Observation of the Sign Reversal of the Magnetic Correlation in a Driven-Dissipative Fermi Gas in Double Wells
• Floquet-engineered vibrational dynamics in a two-dimensional array of trapped ions
• Solution of electric-field-driven tight-binding lattice in contact with fermion reservoir
• Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
• High-order Harmonic Generation and Dynamic Localization in a driven two-level system, a non-perturbative solution using the Floquet-Green formalism
• Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
• Floquet engineering using pulse driving in a diamond two-level system under a large-amplitude modulation

Cited by in corpus (5)

• Non-Hermitian Floquet Topological Matter -- A Review
• Krylov construction and complexity for driven quantum systems
• Floquet theory and applications in open quantum and classical systems
• Detecting the $\pi$-axiverse through parametric resonance
• Long term behavior of the stirred vacuum on a Dirac chain: geometry blur and the random Slater ensemble