Universal chiral quasi-steady states in periodically driven many-body systems

Abstract

We investigate many-body dynamics in a one-dimensional interacting periodically driven system, based on a partially filled version of Thouless's topologically quantized adiabatic pump. The corresponding single-particle Floquet bands are chiral, with the Floquet spectrum realizing nontrivial cycles around the quasienergy Brillouin zone. For generic filling, with either bosons or fermions, the system is gapless and is expected to rapidly absorb energy from the driving field. We identify parameter regimes where scattering between Floquet bands of opposite chirality is exponentially suppressed, opening a long time window in which the system prethermalizes to an infinite-temperature state restricted to a single Floquet band. In this quasi-steady state, the time-averaged current takes a universal value determined solely by the density of particles and the topological winding number of the populated Floquet band. This remarkable behavior may be readily studied experimentally in recently developed cold atom systems.

Expanded, final version

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Cited by in corpus (36)

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• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
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• Floquet analysis of excitations in materials
• Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
• Multi-particle Wannier states and Thouless pumping of interacting bosons
• Integrable many-body quantum Floquet-Thouless pumps
• Breakdown of topological Thouless pumping in the strongly interacting regime
• A flow equation approach to periodically driven quantum systems
• Wannier representation of Floquet topological states
• Localization, topology and quantized transport in disordered Floquet systems
• Periodically Driven Sachdev-Ye-Kitaev Models
• Steady state of interacting Floquet insulators
• Interactions enable Thouless pumping in a nonsliding lattice
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
• Phasonic Spectroscopy of a Quantum Gas in a Quasicrystalline Lattice
• Many-body dynamics and gap opening in interacting periodically driven systems
• Fractionalized Prethermalization in a Driven Quantum Spin Liquid
• Floquet Spectrum and Two-Terminal Conductance of a Transition Metal Dichalcogenide Ribbon under a Circularly Polarized Laser Field
• Prethermalization and entanglement dynamics in interacting topological pumps
• Electric Circuit Simulation of Floquet Topological Insulators
• Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions
• Pre-thermalization in a classical phonon field: slow relaxation of the number of phonons
• Dynamical enhancement of symmetries in many-body systems
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
• Dissipation assisted Thouless pumping in the Rice-Mele model
• Stabilization of prethermal Floquet steady states in a periodically driven dissipative Bose-Hubbard model
• Prethermalization and conservation laws in quasi-periodically-driven quantum systems
• Thouless pumping in Josephson junction arrays
• Robustness of the Floquet many-body localized phase in the presence of a smooth and a non-smooth drive
• Absence of disordered Thouless pumps at finite frequency
• Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology
• Entanglement dynamics and ergodicity breaking in a quantum cellular automaton