Emergent phase transition in Cluster Ising model with dissipation

Abstract

We study a cluster Ising model with non-Hermitian external field which can be exactly solved in the language of free fermions. By investigating the second derivative of energy density and fidelity, the possible new critical points are tentatively located. String order parameter and staggered magnetization are then detected to reveal emergent phases of brand new characteristics. To categorize the exotic phases and phase transitions induced by non-Hermiticity, we calculate the variation mode of spin correlation function as well as string parameter, which characterize the emergent phases and critical points with different patterns of decay and critical exponents. With the help of string order parameter and staggered magnetization, we find that there are four phases after introducing the non-Hermiticity -- the cluster phase, the gapless phase, the paramagnetic (PM) phase and the antiferromagnetic (AF) phase. A phase diagram is then presented to graphically illustrate, based on two "KT-like" phase transitions and an Ising phase transition, respectively, the generation of three critical lines as non-Hermitian strength increases. Our theoretical work is expected to be realized in the experiment of ultra-cold atoms, pushing for progress in exploring novel phases and phase transitions.

arXiv commentpublished version

References in corpus (47)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Edge states and topological invariants of non-Hermitian systems
• Complex Extension of Quantum Mechanics
• Exceptional Topology of Non-Hermitian Systems
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Topological Band Theory for Non-Hermitian Hamiltonians
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Non-Hermitian Chern bands
• Zoo of quantum-topological phases of matter
• Spawning rings of exceptional points out of Dirac cones
• Symmetry protection of topological order in one-dimensional quantum spin systems
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Observation of parity-time symmetry breaking in a single spin system
• 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
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Higher-order topological corner states induced by gain and loss
• 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
• Entanglement and spin squeezing in non-Hermitian phase transitions
• Statistical mechanics of the Cluster-Ising model
• Non-Hermitian Topological Anderson Insulators
• Non-Hermitian Linear Response Theory
• Identifying phases of quantum many-body systems that are universal for quantum computation
• Quantum phase transition between cluster and antiferromagnetic states
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Dissipative spin chain as a non-Hermitian Kitaev ladder
• Phase transitions and localizable entanglement in cluster-state spin chains with Ising couplings and local fields
• Analytic Relations between Localizable Entanglement and String Correlations in Spin Systems
• Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
• Non-Hermitian anisotropic XY model with intrinsic rotation-time reversal symmetry
• Conventional quantum phase transition driven by complex parameter in non-Hermitian PT-symmetric Ising model
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Universal Critical Behaviors in Non-Hermitian Phase Transitions
• Optical read-out of the Néel vector in metallic antiferromagnet Mn${}_2$Au
• Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
• Ising chain with topological degeneracy induced by dissipation
• Effective non-Hermitian physics for degenerate ground states of a nonHermitian Ising model with $\mathcal{R}\mathcal{T}$ symmetry
• Imaginary-field-driven phase transition for the $2$D Ising antiferromagnet: A fidelity-susceptibility approach
• Ring-Frustrated Non-Hermitian $XY$ Model

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• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Quantum phase transition and critical behavior between the gapless topological phases
• Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
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• Topological edge modes and phase transition in the critical fermionic chain with long-range interaction
• Identifying non-Hermitian critical points with quantum metric
• Stable many-body localization under random continuous measurements in the no-click limit
• Non-Abelian quantum geometric tensor in degenerate topological semimetals
• Dynamical phase transition and scaling in the chiral clock Potts chain
• Quantum entanglement of fermionic symmetry-enriched quantum critical points in one dimension
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Quantum criticality of a ${\mathbb{Z}}_3$ symmetric spin chain with long-range interactions
• Magnetic Bloch oscillations in a non-Hermitian quantum Ising chain
• Multipartite entanglement and quantum error identification in $D$-dimensional cluster states
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Recognizing critical lines via entanglement in non-Hermitian systems
• The global phase diagram of the cluster-XY spin chain with dissipation
• Continuously varying critical exponents in an exactly solvable long-range cluster XY mode
• Singular transport in non-equilibrium strongly internal-coupled 1D tilted field spin-1/2 chain
• Emergent gapless spiral phases and conformal Lifshitz criticality in the cluster Ising model with off-diagonal interactions
• Tunable chiral spiral phases in a non-Hermitian Ising-Gamma spin chain
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Multiscale complexity of two-dimensional Ising systems with short-range, ferromagnetic interactions
• Emergence of long-range entanglement and odd-even effect in periodic generalized quantum cluster models