Controlling Exceptional Points with Light

Abstract

We propose and show that application of light leads to an intriguing platform for controlling exceptional points in non-Hermitian topological systems. We demonstrate our proposal using three different non-Hermitian systems -- nodal line semimetals, semi-Dirac semimetals and Dirac semimetals -- and show that using illumination with light one can engineer the positions and stability of exceptional points. We illustrate the topological properties of these models and map out their light-driven topological phase transitions.

arXiv comment13 pages, 11 figures

References in corpus (55)

• Topological Photonics
• Photonic Floquet Topological Insulators
• Experimental realisation of the topological Haldane model
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Topological phases of non-Hermitian systems
• The physics of exceptional points
• Photovoltaic Hall effect in graphene
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Topological Band Theory for Non-Hermitian Hamiltonians
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Lasing in topological edge states of a 1D lattice
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Topological nodal line semimetals
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Topological protection of photonic mid-gap cavity modes
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Topology by Dissipation in Atomic Quantum Wires
• Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Floquet topological insulators
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization
• Irradiated graphene as a tunable Floquet topological insulator
• New topological invariants in non-Hermitian systems
• Experimental realization of a Weyl exceptional ring
• Floquet chiral edge states in graphene
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Topological states of non-Hermitian systems
• Tunable Weyl Points in Periodically Driven Nodal Line Semimetals
• Symmetry-protected nodal phases in non-Hermitian systems
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Perspective on topological states of non-Hermitian lattices
• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
• Floquet Weyl Semimetal Induced by Off-Resonant Light
• Knotted Non-Hermitian Metals
• Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Floquet Topological Phases of Non-Hermitian Systems
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Type-II Weyl cone transitions in driven semimetals
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Photoinduced Chern insulating states in semi-Dirac materials
• Tunable point nodes from line node semimetals via application of light
• Photovoltaic anomalous Hall effect in line-node semimetals
• Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
• Floquet dynamics in two-dimensional semi-Dirac semimetals and three-dimensional Dirac semimetals
• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations
• Topological origin of quantized transport in non-Hermitian Floquet chains
• Macroscopic degeneracy of zero-mode rotating surface states in 3D Dirac and Weyl semimetals under radiation
• Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators
• Cutting off the non-Hermitian boundary from an anomalous Floquet topological insulator

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• Non-Hermitian Topological Phases: Principles and Prospects
• Floquet engineering of point-gapped topological superconductors
• Non-Hermitian Floquet Topological Matter -- A Review
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Light-driven Lifshitz transitions in non-Hermitian multi-Weyl semimetals
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Hexagonally warped exceptional physics in multi-Weyl semimetals
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Entanglement phase transitions in non-Hermitian Floquet systems
• Floquet Exceptional Topological Insulator
• Floquet Engineering of Multifold Fermions
• Extended unitarity and absence of skin effect in periodically driven systems
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• $q$th-root non-Hermitian Floquet topological insulators
• Phase transition from Weyl to self-linked semimetal using bi-circular laser