Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
arXiv:2311.04514 · doi:10.1103/PhysRevB.110.104101
Abstract
We propose and demonstrate that the behaviors of long-range, two-site quantum resources can effectively diagnose quantum phases. In an XX spin chain with symmetry-breaking quantum phase transitions, we reveal that the asymptotic and oscillating decay modes of quantum coherence or quantum discord, along with two-site distance, can identify two spin-liquid phases. Furthermore, based on our analytical results of spin correlation functions, we confirm the existence of long-range entanglement in the system and establish a connection between two-site entanglement and quantum phases. Additionally, for the extended Ising model with topological phase transitions, we find that coherence and quantum discord behaviors can also signify topological quantum phases. In particular, we discover the quantum resource freezing phenomenon, where topologically protected long-range quantum resources may have potential applications in quantum information processing.
arXiv comment4.5 pages, 4 figures plus the supplemental material
References in corpus (90)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Anyons in an exactly solved model and beyond
- Advances in Quantum Metrology
- Introducing Quantum Discord
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Area laws for the entanglement entropy - a review
- Quantifying Coherence
- Distributed Entanglement
- Quantum metrology
- Classical, quantum and total correlations
- Scaling of Entanglement close to a Quantum Phase Transitions
- Many-body localization, thermalization, and entanglement
- Quantum Coherence as a Resource
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Quantum metrology with nonclassical states of atomic ensembles
- Finite-Time Disentanglement via Spontaneous Emission
- The classical-quantum boundary for correlations: discord and related measures
- Topological phases of non-Hermitian systems
- Quantum Resource Theories
- Sudden Death of Entanglement
- Zoo of quantum-topological phases of matter
- Observation of entanglement propagation in a quantum many-body system
- Light-cone-like spreading of correlations in a quantum many-body system
- Unified View of Quantum and Classical Correlations
- Fundamental limitations for quantum and nano thermodynamics
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- Fisher information and multiparticle entanglement
- Robustness of coherence: An operational and observable measure of quantum coherence
- Multipartite entanglement and high precision metrology
- Classical Correlation and Quantum Discord in Critical Systems
- Global entanglement in multiparticle systems
- Sudden transition between classical and quantum decoherence
- Quantum discord as resource for remote state preparation
- Security in Quantum Cryptography
- The resource theory of informational nonequilibrium in thermodynamics
- Frozen Quantum Coherence
- Quantum coherence in multipartite systems
- Topological characterization of quantum phase transitions in a S=1/2 spin model
- Measuring multipartite entanglement via dynamic susceptibilities
- Dynamics of quantum entanglement
- Heralded Entanglement between Atomic Ensembles: Preparation, Decoherence, and Scaling
- Quantum discord of two-qubit X-states
- Quantum coherence and geometric quantum discord
- Monogamy Inequality in terms of Negativity for Three-Qubit States
- Coherence as a resource in decision problems: The Deutsch-Jozsa algorithm and a variation
- Assisted distillation of quantum coherence
- "Light-cone" dynamics after quantum quenches in spin chains
- Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
- Max- relative entropy of coherence: an operational coherence measure
- Quantifying entanglement resources
- Coherence depletion in the Grover quantum search algorithm
- Are general quantum correlations monogamous?
- General monogamy relation for the entanglement of formation in multiqubit systems
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Entanglement, Coherence, and Extractable Work in Quantum Batteries
- Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
- Multipartite Entanglement Signature of Quantum Phase Transitions
- Topology and edge modes in quantum critical chains
- Global entanglement and quantum criticality in spin chains
- Measure-Independent Freezing of Quantum Coherence
- Multipartite entanglement in topological quantum phases
- Dielectric catastrophe at the Mott transition
- Topological Characterization of Extended Quantum Ising Models
- Coherence susceptibility as a probe of quantum phase transitions
- Observation of time-invariant coherence in a room temperature quantum simulator
- Evolution equation for quantum coherence
- Genuine Multipartite Entanglement in Quantum Phase Transitions
- Phase Diagram of the spin S=1/2 Extended XY model
- Witnessing entanglement in quantum magnets using neutron scattering
- Scaling of genuine multiparticle entanglement at a quantum phase transition
- Entanglement monogamy and entanglement evolution in multipartite systems
- Exploring multipartite quantum correlations with the square of quantum discord
- Steered quantum coherence as a signature of quantum phase transitions in spin chains
- Quantifying and controlling entanglement in the quantum magnet CsCoCl
- Characterization of topological states via dual multipartite entanglement
- Experimental cyclic inter-conversion between Coherence and Quantum Correlations
- Superconductivity from doping a spin liquid insulator: a simple one-dimensional example
- Criticality, factorization and long-range correlations in the anisotropic XY-model
- Phase diagram of the half-filled Hubbard chain with next-nearest-neighbor hopping
- Necessary and sufficient conditions of freezing phenomena of quantum discord under phase damping
- Genuine Multipartite Entanglement in the Cluster-Ising Model
- Hot entanglement in a simple dynamical model
- DMRG study of the spin gap in a one dimensional Hubbard model: effect of the distant transfer and exchange coupling
- Magnetism-driven ferroelectricity in spin-1/2 chains
- One-way deficit and quantum phase transitions in model and extended Ising model
- Resource conversion between operational coherence and multipartite entanglement in many-body systems
- Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 chain
- Identifying quantum phase transitions via geometric measures of nonclassicality