The quantum phase transitions of dimer chain driven by an imaginary ac field

Abstract

A topologically equivalent tight binding model is proposed to study the quantum phase transitions of dimer chain driven by an imaginary ac field. I demonstrate how the partner Hamiltonian is constructed by a similarity transformation to fulfil the $\mathcal{P}\mathcal{T}$ symmetry. The $\mathcal{P}\mathcal{T}$ symmetry of the partner model allows us to study the topological properties of the original non-Hermitian model as the Bloch bands of the Hermitian system. The quantum phase transitions are discussed in different frequency regime. The approach has the potential applications to investigate the topological states of matter driven by the complex external parameters.

arXiv comment7 pages, 3 figures

References in corpus (68)

• Topological Insulators
• Topological insulators and superconductors
• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Topological Photonics
• Edge states and topological invariants of non-Hermitian systems
• Colloquium: Topological Band Theory
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Anomalous edge state in a non-Hermitian lattice
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Visualization of Branch Points in PT-Symmetric Waveguides
• Non-Hermitian Chern bands
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Anatomy of skin modes and topology in non-Hermitian systems
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Topology by Dissipation in Atomic Quantum Wires
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Exceptional Points of Non-hermitian Operators
• Pump-induced Exceptional Points in Lasers
• Non-reciprocal robotic metamaterials
• Non-Hermitian Topological Invariants in Real Space
• Floquet-Bloch theory and topology in periodically driven lattices
• Reciprocal skin effect and its realization in a topolectrical circuit
• Topologically protected midgap states in complex photonic lattices
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Single particle Green's functions and interacting topological insulators
• PT symmetry and spontaneous symmetry breaking in a microwave billiard
• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Topological states of non-Hermitian systems
• Encircling an Exceptional Point
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Floquet topological transitions in a driven one-dimensional topological insulator
• Nonequilibrium Quantum Phase Transitions in the Dicke Model
• Generating Many Majorana Modes via Periodic Driving: A Superconductor Model
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Entanglement and spin squeezing in non-Hermitian phase transitions
• Dynamical Singularities of Floquet Higher-Order Topological Insulators
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry
• Generalized bulk-edge correspondence for non-hermitian topological systems
• Floquet Topological Phases of Non-Hermitian Systems
• Topological classification of non-Hermitian systems with reflection symmetry
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Topological quantum wires with balanced gain and loss
• Exceptional Points in a Non-Hermitian Topological Pump
• Engineering tunable local loss in a synthetic lattice of momentum states
• Majorana Edge Modes with Gain and Loss
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Recipe for creating an arbitrary number of Floquet chiral edge states
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• A Classification of random Dirac fermions
• Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators
• Universal fluctuations of Floquet topological invariants at low frequencies
• Floquet engineering of optical solenoids and quantized charge pumping along tailored paths in two-dimensional Chern insulators
• Conventional quantum phase transition driven by complex parameter in non-Hermitian PT-symmetric Ising model
• On Properties of the Ising Model for Complex Energy/Temperature and Magnetic Field
• Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Transport signatures of a Floquet topological transition at the helical edge