The global phase diagram of the cluster-XY spin chain with dissipation

Abstract

We study the ground-state phase diagram of a non-Hermitian cluster-XY spin chain in the language of free fermions. By calculating the second derivative of ground-state energy density and various types of order parameters, we establish the global ground-state phase diagram of the model, exhibiting rich quantum phases and corresponding phase transitions. Specially, the results reveal that the non-Hermitian cluster-XY model contains five different phases and two critical regions, i.e., ferromagnetic (FM), antiferromagnetic (AFM), symmetry-protected topological (SPT), paramagnetic (PM), Luttinger liquid-like phase, as well as critical region I and II. The order parameters and critical behaviors are investigated and the correctness of the theory is confirmed.

References in corpus (68)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Topological phases of non-Hermitian systems
• Quantum trajectories and open many-body quantum systems
• Spawning rings of exceptional points out of Dirac cones
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Second-Order Topological Phases in Non-Hermitian Systems
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
• Detection of Symmetry Protected Topological Phases in 1D
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Higher-order topological corner states induced by gain and loss
• Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
• Spin Hall effects for cold atoms in a light induced gauge potential
• Localizable Entanglement
• Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
• Ultracold quantum gases in triangular optical lattices
• Heralded magnetism in non-Hermitian atomic systems
• Experimental Determination of the Finite-Temperature Phase Diagram of a Spin-Orbit Coupled Bose Gas
• Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization
• Atomic Bose-Einstein condensate in a twisted-bilayer optical lattice
• Gapless topological phases and symmetry-enriched quantum criticality
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• Statistical mechanics of the Cluster-Ising model
• Non-Hermitian Topological Anderson Insulators
• Cooling and entangling ultracold atoms in optical lattices
• Quantum phase transition between cluster and antiferromagnetic states
• Dynamical Control of Quantum Heat Engines Using Exceptional Points
• Topological quantum walks in momentum space with a Bose-Einstein condensate
• Measurement-induced transitions of the entanglement scaling law in ultracold gases with controllable dissipation
• Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice
• An order parameter for symmetry-protected phases in one dimension
• Observation of topological phase with critical localization in a quasi-periodic lattice
• Collective Excitations and Nonequilibrium Phase Transition in Dissipative Fermionic Superfluids
• Phase transitions and localizable entanglement in cluster-state spin chains with Ising couplings and local fields
• Phase diagram and quench dynamics of the Cluster-XY spin chain
• Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice
• Conformal Boundary Conditions of Symmetry-Enriched Quantum Critical Spin Chains
• Analytic Relations between Localizable Entanglement and String Correlations in Spin Systems
• Non-Hermitian Chiral Skin Effect
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Emergent phase transition in Cluster Ising model with dissipation
• Topological and nematic ordered phases in many-body cluster-Ising models
• Universal entanglement spectrum in gapless symmetry protected topological states
• Interrelated Thermalization and Quantum Criticality in a Lattice Gauge Simulator
• Non-Hermitian Stark Many-Body Localization
• Dissipative spin chains: Implementation with cold atoms and steady-state properties
• Landau-Zener-Stückelberg Interferometry in $\mathcal{P}\mathcal{T}$-symmetric Non-Hermitian models
• Universal Scaling of the Dynamic BKT Transition in Quenched 2D Bose Gases
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Geometry and superfluidity of the flat band in a non-Hermitian optical lattice
• Incoherent non-Hermitian skin effect in photonic quantum walks
• Quantum phase transition and critical behavior between the gapless topological phases
• Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain
• Damping transition in an open generalized Aubry-André-Harper model
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Quantum phase transition between topologically distinct quantum critical points
• Scaling of geometric phase versus band structure in cluster-Ising models
• Topological edge modes and phase transition in the critical fermionic chain with long-range interaction
• Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
• Effective protection of quantum coherence by non-Hermitian driving
• Quantum phases of spin-1/2 extended XY model in transverse magnetic field
• Magnetic phases of XY model with three-spin terms: interplay of topology and entanglement

Cited by in corpus (4)

• Quantum entanglement of fermionic symmetry-enriched quantum critical points in one dimension
• Tunable chiral spiral phases in a non-Hermitian Ising-Gamma spin chain
• Emergent gapless spiral phases and conformal Lifshitz criticality in the cluster Ising model with off-diagonal interactions
• Emergence of long-range entanglement and odd-even effect in periodic generalized quantum cluster models