Floquet Topological Order in Interacting Systems of Bosons and Fermions

Abstract

Periodically driven noninteracting systems may exhibit anomalous chiral edge modes, despite hosting bands with trivial topology. We find that these drives have surprising many-body analogs, corresponding to class A, which exhibit anomalous charge and information transport at the boundary. Drives of this form are applicable to generic systems of bosons, fermions, and spins, and may be characterized by the anomalous unitary operator that acts at the edge of an open system. We find that these operators are robust to all local perturbations and may be classified by a pair of coprime integers. This defines a notion of dynamical topological order that may be applied to general time-dependent systems, including many-body localized phases or time crystals.

5 pages plus references and supplemental material; v2 is published version, with title change and new introduction

References in corpus (17)

• Many body localization and thermalization in quantum statistical mechanics
• Topological characterization of periodically-driven quantum systems
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Equilibrium states of generic quantum systems subject to periodic driving
• Many-body localization in periodically driven systems
• Periodically driven ergodic and many-body localized quantum systems
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Disorder-induced Floquet Topological Insulators
• Tunable Spin-Orbit Coupling via Strong Driving in Ultracold Atom Systems
• Topological index for periodically driven time-reversal invariant 2D systems
• Chiral Floquet Phases of Many-body Localized Bosons
• A Floquet Model for the Many-Body Localization Transition
• Protection of topological order by symmetry and many-body localization
• Disordered Chern insulator with a two step Floquet drive
• Many-Body Localization of Symmetry Protected Topological States
• Competing Adiabatic Thouless Pumps in Enlarged Parameter Spaces

Cited by in corpus (7)

• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Floquet conformal field theories with generally deformed Hamiltonians
• Topological lower bound on quantum chaos by entanglement growth
• Topology and localization of a periodically driven Kitaev model
• The Real-Time Correlation Function of Floquet Conformal Fields
• Dynamics and Control of Edge States in Laser-driven Graphene Nanoribbons
• Low-frequency and Moiré Floquet engineering: a review