Floquet engineering and simulating exceptional rings with a quantum spin system
arXiv:2005.02703 · doi:10.1103/PhysRevA.102.062201
Abstract
Time-periodic driving in the form of coherent radiation provides powerful tool for the manipulation of topological materials or synthetic quantum matter. In this paper we propose a scheme to realize non-Hermitian semimetals exhibiting exceptional rings in the spectra through Floquet engineering. A transition from a concentric pair of the rings to a dipolar pair is observed. The concentric pair carries only a quantized Berry phase while the dipolar pair possesses opposite Chern numbers in addition, signaling a topological Lifshitz transition of the Fermi surface. The transport properties of the system are addressed, and we find that this transition process is accompanied by the emergency of a nontrivial Hall conductivity. Furthermore, we explore the quantum simulation of non-Hermitian semimetals with a quantum spin system and the characterization of the topology via the long-time dynamics.
arXiv comment10 pages, 8 figures
References in corpus (78)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Edge states and topological invariants of non-Hermitian systems
- Exceptional Topology of Non-Hermitian Systems
- Topological nodal semimetals
- Topological phases of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- A tight-binding approach to uniaxial strain in graphene
- Topological Origin of Non-Hermitian Skin Effects
- Atomic quantum gases in periodically driven optical lattices
- Topological Band Theory for Non-Hermitian Hamiltonians
- Non-Bloch Band Theory of Non-Hermitian Systems
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Visualization of Branch Points in PT-Symmetric Waveguides
- Non-Hermitian Chern bands
- Topological nodal line semimetals with and without spin-orbital coupling
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Anatomy of skin modes and topology in non-Hermitian systems
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- Topology by Dissipation in Atomic Quantum Wires
- Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
- Hybrid higher-order skin-topological modes in non-reciprocal systems
- Observation of parity-time symmetry breaking in a single spin system
- Classification of Exceptional Points and Non-Hermitian Topological Semimetals
- Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
- Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
- New topological invariants in non-Hermitian systems
- Experimental realization of a Weyl exceptional ring
- Topological quantum matter with cold atoms
- Simulation and detection of Dirac fermions with cold atoms in an optical lattice
- Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
- Non-Hermitian perspective of the band structure in heavy-fermion systems
- Exceptional rings in two-dimensional correlated systems with chiral symmetry
- Tunable Weyl Points in Periodically Driven Nodal Line Semimetals
- Symmetry-protected nodal phases in non-Hermitian systems
- Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
- Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
- Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
- The Naimark dilated PT-symmetric brachistochrone
- Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
- Experimental observation of exceptional surface in synthetic dimensions with magnon polaritons
- Non-Hermitian Hopf-Link Exceptional Line Semimetals
- Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
- Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
- Dynamically encircling an exceptional point in a real quantum system
- 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
- Non-Hermitian Topological Anderson Insulators
- Non-Hermitian Linear Response Theory
- Hall Conductance of a Non-Hermitian Chern Insulator
- Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
- Floquet Topological Phases of Non-Hermitian Systems
- Jones polynomial and knot transitions in topological semimetals
- Observation of emergent momentum-time skyrmions in parity-time-symmetric non-unitary quench dynamics
- Observation of nodal-line semimetal with ultracold fermions in an optical lattice
- Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
- Tunable point nodes from line node semimetals via application of light
- Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
- Relativistic quantum effects of Dirac particles simulated by ultracold atoms
- Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems
- Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
- Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
- Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
- Weyl nodal surfaces
- Topology and Observables of the Non-Hermitian Chern Insulator
- Dynamic winding number for exploring band topology
- Time-dependent -symmetric quantum mechanics in generic non-Hermitian systems
- Topological Superfluid Transition Induced by Periodically Driven Optical Lattice
- Simulating broken -symmetric Hamiltonian systems by weak measurement
- Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric
- Controlling Exceptional Points with Light
- Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect
- Monopoles in non-Hermitian systems
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- Non-Hermitian Topological Phases: Principles and Prospects
- Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
- Dual topological characterization of non-Hermitian Floquet phases
- Non-Hermitian Floquet Topological Matter -- A Review
- Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
- Driving-induced multiple -symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
- 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 Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
- Emergent conservation in Floquet dynamics of integrable non-Hermitian models
- Entanglement phase transitions in non-Hermitian Floquet systems
- Entanglement transitions in a periodically driven non-Hermitian Ising chain
- Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
- Dynamics of non-Hermitian Floquet Wannier-Stark system
- Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
- Exceptional rings in nonlinear non-Hermitian planar optical microcavities: implementation, signal enhancement, and topology
- th-root non-Hermitian Floquet topological insulators