Non-Hermitian Topological End-Mode Lasing in Polariton Systems

Abstract

We predict the existence of non-Hermitian topologically protected end states in a one-dimensional exciton-polariton condensate lattice, where topological transitions are driven by the laser pump pattern. We show that the number of end states can be described by a Chern number and a topological invariant based on the Wilson loop. We find that such transitions arise due to {\it enforced exceptional points} which can be predicted directly from the bulk Bloch wave functions. This allows us to establish a new type of bulk-boundary correspondence for non-Hermitian systems and to compute the phase diagram of an open chain analytically. Finally, we demonstrate topological lasing of a single end-mode in a realistic model of a microcavity lattice.

arXiv commentMain text (6 pages) and Supplementary Material (4 pages)

References in corpus (55)

• Topological Insulators
• Classification of topological quantum matter with symmetries
• Edge states and topological invariants of non-Hermitian systems
• Quantum fluids of light
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Band Theory for Non-Hermitian Hamiltonians
• Anomalous edge state in a non-Hermitian lattice
• Non-Bloch Band Theory of Non-Hermitian Systems
• Lasing in topological edge states of a 1D lattice
• Non-Hermitian Chern bands
• 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
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Exciton-polariton topological insulator
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Edge states and topological phases in non-Hermitian systems
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Topological Hybrid Silicon Microlasers
• Topologically protected midgap states in complex photonic lattices
• Topological Polaritons
• Photonic Topological Insulating Phase Induced Solely by Gain and Loss
• Topological states of non-Hermitian systems
• Polariton $\mathbb{Z}$ Topological Insulator
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Exciton Polaritons in a Two-Dimensional Lieb Lattice with Spin-Orbit Coupling
• Topological Polaritons and Excitons in Garden Variety Systems
• Spin-orbit coupling and optical spin Hall effect in photonic graphene
• Perspective on topological states of non-Hermitian lattices
• Dynamical quantum phase transitions in non-Hermitian lattices
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Orbital edge states in a photonic honeycomb lattice
• Exceptional rings protected by emergent symmetry for mechanical systems
• Bistable topological insulator with exciton-polaritons
• Topological quantum wires with balanced gain and loss
• Exceptional points in topological edge spectrum of PT symmetric domain walls
• Measuring topological invariants from generalized edge states in polaritonic quasicrystals
• Chirality of topological gap solitons in bosonic dimer chains
• Interacting quantum fluid in a polariton topological insulator
• Topological phases in Kitaev chain with imbalanced pairing
• Topological phases of polaritons in a cavity waveguide
• Adiabatic approximation and fluctuations in exciton-polariton condensates
• Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems
• Spontaneous and Superfluid Chiral Edge States in Exciton-Polariton Condensates
• Topological Metamaterials based on polariton rings
• Realization of Hofstadter's butterfly and a one-way edge mode in a polaritonic system
• Floquet Topological Polaritons in Semiconductor Microcavities
• Topological Polaritons in a Quantum Spin Hall Cavity
• Exciton-Polariton Topological Insulator with an Array of Magnetic Dots

Cited by in corpus (27)

• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Perspective: non-Hermitian physics in magnetic systems
• Non-reciprocal transport of Exciton-Polaritons in a non-Hermitian chain
• Synthetic band-structure engineering in polariton crystals with non-Hermitian topological phases
• Quantum fluids of light in all-optical scatterer lattices
• From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain
• Interaction induced bi-skin effect in an exciton-polariton system
• Non-Hermitian many-body topological excitations in interacting quantum dots
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Observation of a topological edge state stabilized by dissipation
• Optically induced topological spin-valley Hall effect for exciton polaritons
• Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Spin-polarized antichiral exciton-polariton edge states
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Grating-based microcavity with independent control of resonance energy and linewidth for non-Hermitian polariton system
• Topological enhancement of exciton-polariton coherence with non-Hermitian morphing
• Electric polarization and its quantization in one-dimensional non-Hermitian chains
• Artificial polariton molecules
• Non-Hermitian topological quantum states in a reservoir-engineered transmon chain
• Non-reciprocal population dynamics in a quantum trimer
• Non-Hermitian synthetic lattices with light-matter coupling
• Direct Measurement of a Non-Hermitian Topological Invariant in a Hybrid Light-Matter System
• Coherent transfer of topological domain walls
• Quantization of Polaritons Confined in Dielectric Structures