Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
arXiv:2305.16059 · doi:10.1103/PhysRevA.109.023718
Abstract
We study the long-range hopping limit of a one-dimensional array of equal-distanced quantum emitters in free space, where the hopping amplitude of emitter excitation is proportional to the inverse of the distance and equals the lattice dimension. For two species of emitters in an alternating arrangement, the single excitation sector exhibits non-Hermitian spectral singularities known as exceptional points. We unveil an unconventional phase transition, dubbed exceptional-point phase transition, from the collective to individual spontaneous emission behaviors. At the transition point, the Hamiltonian fragments into many two-dimensional non-diagonalizable blocks. The remaining diagonalizable block contains a dissipation-induced edge state with algebraically localized profiles, and we provide numerical evidence for its existence in the infinite-array limit. We demonstrate that the edge state can be eliminated via a continuous deformation, consistent with the ill-definedness of bulk topological invariant. We also propose a spatially resolved character to quantify the incoherent flow and loss in the non-unitary quantum walks of single atomic excitations.
References in corpus (50)
- Three qubits can be entangled in two inequivalent ways
- Classification of topological quantum matter with symmetries
- Edge states and topological invariants of non-Hermitian systems
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- Topological phases of non-Hermitian systems
- The physics of exceptional points
- Symmetry and Topology in Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Topological Band Theory for Non-Hermitian Hamiltonians
- Anomalous edge state in a non-Hermitian lattice
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Non-Hermitian Boundary Modes
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Edge states and topological phases in non-Hermitian systems
- Topological Transition in a Non-Hermitian Quantum Walk
- Exponential improvement in photon storage fidelities using subradiance and "selective radiance" in atomic arrays
- On the relationship between continuous- and discrete-time quantum walk
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Nearest neighbor tight binding models with an exact mobility edge in one dimension
- Non-Hermitian topological phenomena: A review
- Subradiance in a Large Cloud of Cold Atoms
- Predicted mobility edges in one-dimensional incommensurate optical lattices: An exactly solvable model of Anderson localization
- Cooperative resonances in light scattering from two-dimensional atomic arrays
- Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
- One dimensional quasiperiodic mosaic lattice with exact mobility edges
- Topological Quantum Optics in Two-Dimensional Atomic Arrays
- Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
- Multi-photon Scattering Theory and Generalized Master Equations
- Theory of Subradiant States of a One-Dimensional Two-Level Atom Chain
- Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
- Non-Hermitian Edge Burst
- Input-Output Formalism for Few-Photon Transport: A Systematic Treatment Beyond Two Photons
- Optimization of photon storage fidelity in ordered atomic arrays
- Storage and release of subradiant excitations in a dense atomic cloud
- A subwavelength atomic array switched by a single Rydberg atom
- Time-Reversal Symmetry in Non-Hermitian Systems
- Quantum nonlinear optics based on two-dimensional Rydberg atom arrays
- Extremely subradiant states in a periodic one-dimensional atomic array
- Absence of fast scrambling in thermodynamically stable long-range interacting systems
- Subradiant emission from regular atomic arrays: universal scaling of decay rates from the generalized Bloch theorem
- Exceptional points and the topology of quantum many-body spectra
- Controlling interactions between quantum emitters using atom arrays
- Edge states of the long-range Kitaev chain: an analytical study
- Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths
- Bound states and photon emission in non-Hermitian nanophotonics
- Long-Range Free Fermions: Lieb-Robinson Bound, Clustering Properties, and Topological Phases
- Topological edge-states of the PT-symmetric Su-Schrieffer-Heeger model: An effective two-state description
- Symmetry protected exceptional points of interacting fermions