Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension

Abstract

Non-Hermitian topological phases in static and periodically driven systems have attracted great attention in recent years. Finding dynamical probes for these exotic phases would be of great importance in the detection and application of their topological properties. In this work, we propose a systematic approach to dynamically characterize non-Hermitian Floquet topological phases in one-dimension with chiral symmetry. We show that the topological invariants of a chiral symmetric Floquet system can be fully determined by measuring the winding angles of its time-averaged spin textures. We further purpose a piecewise quenched lattice model with rich non-Hermitian Floquet topological phases, in which our theoretical predictions are numerically demonstrated and compared with another approach utilizing the mean chiral displacement of a wavepacket.

9 pages, 4 figures

References in corpus (26)

• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Topological Transition in a Non-Hermitian Quantum Walk
• Topological phase transition in non-Hermitian quasicrystals
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• New topological invariants in non-Hermitian systems
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
• Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Perspective on topological states of non-Hermitian lattices
• Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
• Topological phase in a non-Hermitian PT symmetric system
• Generalized bulk-edge correspondence for non-hermitian topological systems
• Geometric classification of non-Hermitian topological systems through the singularity ring
• Topological classification of defects in non-Hermitian systems
• Topological band theory for non-Hermitian systems from the Dirac equation
• Dynamical signatures of topological order in the driven-dissipative Kitaev chain
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Topology and Observables of the Non-Hermitian Chern Insulator
• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations

Cited by in corpus (45)

• Topological Non-Hermitian skin effect
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Higher-Order Weyl-Exceptional-Ring Semimetals
• Non-Hermitian Topological Phases: Principles and Prospects
• Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands
• Unified theory to characterize Floquet topological phases by quench dynamics
• Dual topological characterization of non-Hermitian Floquet phases
• Non-Hermitian Floquet Topological Matter -- A Review
• Dissipative Floquet Dynamical Quantum Phase Transition
• Non-Hermitian Floquet second order topological insulators in periodically quenched lattices
• Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Topological aspects of periodically driven non-Hermitian Su-Schrieffer-Heeger model
• Floquet topological phase transitions in a periodically quenched dimer
• Loss-induced Floquet non-Hermitian skin effect
• Engineering Floquet Dynamical Quantum Phase Transition
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Non-Bloch quench dynamics
• Controlling Exceptional Points with Light
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Observation of Floquet topological phases with large Chern numbers
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Floquet dynamical quantum phase transitions in periodically quenched systems
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Light-driven Lifshitz transitions in non-Hermitian multi-Weyl semimetals
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Hexagonally warped exceptional physics in multi-Weyl semimetals
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Topological edge states at Floquet quantum criticality
• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
• Entanglement phase transitions in non-Hermitian Floquet systems
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Floquet topological phase in a generalized PT-symmetric lattice
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• Emergent non-Hermitian physics in generalized Lotka-Volterra model
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• $q$th-root non-Hermitian Floquet topological insulators
• Large Chern numbers in a dissipative dice model