Almost strong 0, π edge modes in clean, interacting 1D Floquet systems

Abstract

Certain periodically driven quantum many-particle systems in one dimension are known to exhibit edge modes that are related to topological properties and lead to approximate degeneracies of the Floquet spectrum. A similar situation occurs in spin chains, where stable edge modes were shown to exist at all energies in certain integrable spin chains. Moreover, these edge modes were found to be remarkably stable to perturbations. Here we investigate the stability of edge modes in interacting, periodically driven, clean systems. We introduce a model that features edge modes that persist over times scales well in excess of the time needed for the bulk of the system to heat to infinite temperatures.

arXiv comment14 pages, 15 figures

References in corpus (50)

• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• New directions in the pursuit of Majorana fermions in solid state systems
• Search for Majorana fermions in superconductors
• Topological characterization of periodically-driven quantum systems
• On the phase structure of driven quantum systems
• Zoo of quantum-topological phases of matter
• Topological phases of fermions in one dimension
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Equilibrium states of generic quantum systems subject to periodic driving
• Long-time behavior of periodically driven isolated interacting lattice systems
• Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
• Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
• Exponentially slow heating in periodically driven many-body systems
• Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
• Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
• Periodically driven ergodic and many-body localized quantum systems
• A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
• Pre-thermal phases of matter protected by time-translation symmetry
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Floquet generation of Majorana end modes and topological invariants
• Many-body energy localization transition in periodically driven systems
• Prethermalization and thermalization in models with weak integrability breaking
• Quantum quench dynamics
• Classification of Interacting Topological Floquet Phases in One Dimension
• Classification of topological phases in periodically driven interacting systems
• One-Dimensional Symmetry Protected Topological Phases and their Transitions
• Many-body Localization and Symmetry Protected Topological Order
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
• Floquet symmetry-protected topological phases in cold atomic systems
• Abelian Floquet symmetry-protected topological phases in one dimension
• Heating and many-body resonances in a periodically driven two-band system
• Floquet engineering of long-range p-wave superconductivity
• Onset of Floquet Thermalisation
• Long coherence times for edge spins
• Integrable Floquet dynamics
• Prethermal Strong Zero Modes and Topological Qubits
• Floquet Quantum Criticality
• Floquet Dynamics of Boundary-Driven Systems at Criticality
• Replica resummation of the Baker-Campbell-Hausdorff series
• Parafermion chain with $2\pi /k$ Floquet edge modes
• Stroboscopic Symmetry-Protected Topological Phases
• Enhancing correlation times for edge spins through dissipation
• Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
• Central Charge of Periodically Driven Critical Kitaev Chains
• Entanglement properties of the time periodic Kitaev Chain
• String order parameters for 1d Floquet Symmetry Protected Topological Phases

Cited by in corpus (36)

• Stable Quantum-Correlated Many Body States through Engineered Dissipation
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits
• Dynamics of almost strong edge modes in spin chains away from integrability
• Lifetime of almost strong edge-mode operators in one dimensional, interacting, symmetry protected topological phases
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains
• Topological and symmetry-enriched random quantum critical points
• Floquet engineering topological many-body localized systems
• Fractal nature of high-order time crystal phases
• Strong zero modes in integrable quantum circuits
• Decay rates of almost strong modes in Floquet spin chains beyond Fermi's Golden Rule
• Anomalous topological edge modes in a periodically-driven trimer lattice
• Emergent strong zero mode through local Floquet engineering
• Geometric Floquet theory
• Topological Defects in Floquet Circuits
• Dynamics and Phases of Nonunitary Floquet Transverse-Field Ising Model
• Slowly decaying zero mode in a weakly non-integrable boundary impurity model
• A Universal Model of Floquet Operator Krylov Space
• Self-similar phase diagram of the Fibonacci-driven quantum Ising model
• Non-integrable Floquet Ising model with duality twisted boundary conditions
• Stochastic strong zero modes and their dynamical manifestations
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model
• Almost Strong Zero Modes at Finite Temperature
• Disorder induced topological phase transition in a driven Majorana chain
• Robust Oscillations and Edge Modes in Nonunitary Floquet Systems
• A metronome spin stabilizes time-crystalline dynamics
• Isolated zero mode in a quantum computer from a duality twist
• Duality defect in a deformed transverse-field Ising model
• Moment method and continued fraction expansion in Floquet Operator Krylov Space
• Floquet Product Mode
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth
• Strong and almost strong modes of Floquet spin chains in Krylov subspaces
• Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization
• Interaction effects on electronic Floquet spectra: Excitonic effects
• Strong zero modes in integrable spin-S chains