PT Symmetric Floquet Topological Phase

Abstract

In this paper, we study the existence of Floquet topological insulators for PT symmetric non-Hermitian Hamiltonians. We consider an array of waveguide in 1D with periodically changing non-Hermitian potential and predict the existence of Floquet topological insulators in the system. We also extend the concept of Floquet topological phase to a two dimensional non-Hermitian system.

To appear in Eur. Phys. J. D

References in corpus (11)

• Topological Photonics
• Experimental realisation of the topological Haldane model
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Photovoltaic Hall effect in graphene
• Analogs of quantum Hall effect edge states in photonic crystals
• Topological characterization of periodically-driven quantum systems
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• Topological phase in a non-Hermitian PT symmetric system
• Network Models of Photonic Floquet Topological Insulators
• Pseudo PT symmetric lattice

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• Non-Hermitian systems and topology: A transfer-matrix perspective
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• Relation between $\mathcal{P}\mathcal{T}$-symmetry breaking and topologically nontrivial phases in the SSH and Kitaev models
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Edge states at the interface of non-Hermitian systems
• Topological invariants in dissipative extensions of the Su-Schrieffer-Heeger model
• Majorana Edge Modes with Gain and Loss
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• Dual topological characterization of non-Hermitian Floquet phases
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Non-Hermitian Floquet Topological Matter -- A Review
• Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
• PT Symmetric Floquet Topological Phase in SSH Model
• Symmetry and topological classification of Floquet non-Hermitian systems
• Non-Hermitian tight-binding network engineering
• Stable topological edge states in a non-Hermitian four-band model
• Non-Hermitian anomalous skin effect
• Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system
• Spontaneous topological pumping in non-Hermitian systems
• Topological edge states on time-periodically strained armchair graphene nanoribbons
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Numerical calculation of the complex berry phase in non-Hermitian systems
• Spontaneously Broken Particle-Hole Symmetry in Photonic Graphene with Gain and Loss
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
• Anomalous features of non-Hermitian topological states
• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
• Entanglement phase transitions in non-Hermitian Floquet systems
• Super Bloch Oscillation in a PT symmetric system
• Floquet topological phase in a generalized PT-symmetric lattice
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Topological states at exceptional points
• Self-acceleration in non-Hermitian Systems
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Fundamental issues with light propagation through $\mathcal{P}\mathcal{T}$-symmetric systems
• Floquet spin textures in optically pumped non-Hermitian surface states