Exceptional Spin Liquids from Couplings to the Environment

Abstract

We establish the appearance of a qualitatively new type of spin liquid with emergent exceptional points when coupling to the environment. We consider an open system of the Kitaev honeycomb model generically coupled to an external environment. In extended parameter regimes, the Dirac points of the emergent Majorana fermions from the original model are split into exceptional points with Fermi arcs connecting them. In glaring contrast to the original gapless phase of the honeycomb model which requires time-reversal symmetry, this new phase is stable against all perturbations. The system also displays a large sensitivity to boundary conditions resulting from the non-Hermitian skin effect with telltale experimental consequences. Our results point to the emergence of new classes of spin liquids in open systems which might be generically realized due to unavoidable couplings with the environment.

arXiv comment5 pages, 3 figures. Original title: Exceptional Spin Liquids

References in corpus (62)

• Many-Body Physics with Ultracold Gases
• Fault-tolerant quantum computation by anyons
• Anyons in an exactly solved model and beyond
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Edge states and topological invariants of non-Hermitian systems
• Quantum Spin Liquids
• Exceptional Topology of Non-Hermitian Systems
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• String-net condensation: A physical mechanism for topological phases
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Anomalous edge state in a non-Hermitian lattice
• Quantum Spin Liquids
• Non-Hermitian Chern bands
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Quantum trajectories and open many-body quantum systems
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• A Field Guide to Spin Liquids
• Non-Hermitian Topological Sensors
• Quantum state tomography across the exceptional point in a single dissipative qubit
• The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization
• The Flux-Phase of the Half-Filled Band
• An exact chiral spin liquid with non-Abelian anyons
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Experimental realization of a Weyl exceptional ring
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Symmetry-protected nodal phases in non-Hermitian systems
• Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
• Non-Hermitian systems and topology: A transfer-matrix perspective
• Exactly solvable Kitaev model in three dimensions
• Heralded magnetism in non-Hermitian atomic systems
• Observation of critical phenomena in parity-time-symmetric quantum dynamics
• Experimental observation of exceptional surface in synthetic dimensions with magnon polaritons
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Dissipative spin chain as a non-Hermitian Kitaev ladder
• Quantum critical behavior influenced by measurement backaction in ultracold gases
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes
• Topological states and braiding statistics using quantum circuits
• Many-Body Topological and Skin States without Open Boundaries
• Critical fluctuations at a many-body exceptional point
• Dynamical sign reversal of magnetic correlations in dissipative Hubbard models
• Exact Chiral Spin Liquid with Stable Spin Fermi Surface on the Kagome Lattice
• Kitaev honeycomb and other exotic spin models with polar molecules
• Statistics of fractionalized excitations through threshold spectroscopy
• Numerical study of a transition between Z2 topologically ordered phases
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Exceptional band touching for strongly correlated systems in equilibrium
• Quantum simulation of the hexagonal Kitaev model with trapped ions
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Double Semion Phase in an Exactly Solvable Quantum Dimer Model on the Kagome Lattice
• Signatures of fractionalization in spin liquids from interlayer thermal transport
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Correlations in non-Hermitian systems and Diagram techniques for the steady state

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• Topological Non-Hermitian skin effect
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Many-body topology of non-Hermitian systems
• Liouvillian Skin Effect in an Exactly Solvable Model
• Magnetic suppression of non-Hermitian skin effects
• Non-Hermitian Mott Skin Effect
• Non-Hermitian Floquet Topological Matter -- A Review
• Sensitivity of non-Hermitian systems
• Biorthogonal quantum criticality in non-Hermitian many-body systems
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Anomaly in dynamical quantum phase transition in non-Hermitian system with extended gapless phases
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Effect of quantum jumps on non-Hermitian system
• Fate of exceptional points under interactions: Reduction of topological classifications
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Enhanced eigenvector sensitivity and algebraic classification of sublattice-symmetric exceptional points
• Quantum criticality in interacting bosonic Kitaev-Hubbard models
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Non-Hermitian second-order topological superconductors
• Exceptional dynamics of interacting spin liquids
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Theory of non-Hermitian fermionic superfluidity on a honeycomb lattice: Interplay between exceptional manifolds and van Hove Singularity
• An exactly solvable dissipative spin liquid
• Fate of entanglement in magnetism under Lindbladian or non-Markovian dynamics and conditions for their transition to Landau-Lifshitz-Gilbert classical dynamics
• Multifractality of many-body non-Hermitian skin effect
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Lindbladian dynamics with loss of quantum jumps
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Correlation versus dissipation in a non-Hermitian Anderson impurity model
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms
• Exotic Topology in Ordinary Soft Matter
• Linear and Non-Linear Response of Quadratic Lindbladians
• Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
• Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model
• Spin-Depairing-Induced Exceptional Fermionic Superfluidity
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
• Characterizing topological pumping of charges in exactly solvable Rice-Mele chains of the non-Hermitian variety
• Mixed-State Quantum Spin Liquids and Dynamical Anyon Condensations in Kitaev Lindbladians
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking
• Efficient simulation of non-trivial dissipative spin chains via stochastic unraveling
• Magnetic field effects on the Kitaev model coupled to environment