Quantum and classical thermal correlations in the XY spin-1/2 chain
arXiv:1002.3906 · doi:10.1103/PhysRevA.82.012106
Abstract
We investigate pairwise quantum correlation as measured by the quantum discord as well as its classical counterpart in the thermodynamic limit of anisotropic XY spin-1/2 chains in a transverse magnetic field for both zero and finite temperatures. Analytical expressions for both classical and quantum correlations are obtained for spin pairs at any distance. In the case of zero temperature, it is shown that the quantum discord for spin pairs farther than second-neighbors is able to characterize a quantum phase transition, even though pairwise entanglement is absent for such distances. For finite temperatures, we show that quantum correlations can be increased with temperature in the presence of a magnetic field. Moreover, in the XX limit, the thermal quantum discord is found to be dominant over classical correlation while the opposite scenario takes place for the transverse field Ising model limit.
References in corpus (21)
- Quantum discord and the power of one qubit
- Experimental quantum computing without entanglement
- Quantum discord for two-qubit X-states
- Unified View of Quantum and Classical Correlations
- On the quantum, classical and total amount of correlations in a quantum state
- Robustness of quantum discord to sudden death
- Sudden transition between classical and quantum decoherence
- Classical and quantum correlations under decoherence
- Quantum Phase Transitions and Bipartite Entanglement
- Non-Markovian Dynamics of Quantum Discord
- Experimental investigation of classical and quantum correlations under decoherence
- Quantum discord and quantum phase transition in spin chains
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Thermal and Magnetic Quantum Discord in Heisenberg models
- System-reservoir dynamics of quantum and classical correlations
- Quantum mutual information and the one-time pad
- Quantum correlations in topological quantum phase transitions
- Nonclassical correlation in NMR quadrupolar systems
- Sudden change in quantum and classical correlations and the Unruh effect
- Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
- Enhancement of pairwise entanglement from $\mathbbm{Z}_2$ symmetry breaking
Cited by in corpus (88)
- The classical-quantum boundary for correlations: discord and related measures
- Measures and applications of quantum correlations
- Global Quantum Discord in Multipartite Systems
- Quantum discord of two-qubit X-states
- Quantum coherence and uncertainty in the anisotropic XY chain
- Quantum discord and its allies: a review
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Environment-induced sudden transition in quantum discord dynamics
- Quantum Correlations and Coherence in Spin-1 Heisenberg Chains
- Quantum and classical correlations in the one-dimensional XY model with Dzyaloshinskii-Moriya interaction
- Theoretical and experimental aspects of quantum discord and related measures
- Quantum discord in finite XY chains
- Experimentally Witnessing the Quantumness of Correlations
- Nonclassical correlation in NMR quadrupolar systems
- Steered quantum coherence as a signature of quantum phase transitions in spin chains
- Spotlighting quantum critical points via quantum correlations at finite temperatures
- Long-range quantum discord in critical spin systems
- Factorization and Criticality in the Anisotropic XY Chain via Correlations
- Quantum correlations in the 1-D driven dissipative transverse field XY model
- Scaling of quantum discord in spin models
- Ground state factorization and correlations with broken symmetry
- Criticality, factorization and long-range correlations in the anisotropic XY-model
- Correlation and nonlocality measures as indicators of quantum phase transitions in several critical systems
- Quantum discord and classical correlations in the bond-charge Hubbard model: quantum phase transitions, ODLRO and violation of the monogamy property for discord
- Quantum locking of classical correlations and quantum discord of classical-quantum states
- Quantum correlations in the collective spin systems
- Quantum discord in the ground state of spin chains
- Magnetization process, bipartite entanglement and enhanced magnetocaloric effect of the exactly solved spin-1/2 Ising-Heisenberg tetrahedral chain
- Critical Point Estimation and Long-Range Behavior in the One-Dimensional XY Model Using Thermal Quantum and Total Correlations
- Exact dynamics of quantum correlations of two qubits coupled to bosonic baths
- General monogamy property of global quantum discord and the application
- Induced effects of the Dzyaloshinskii-Moriya interaction on the thermal entanglement in spin-1/2 Heisenberg chains
- Characterization of an operational quantum resource in a critical many-body system
- Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
- Magnetic quantum correlation in the 1D transverse-field XXZ model
- Thermal quantum and classical correlations in two qubit XX model in a nonuniform external magnetic field
- Magnetic Entanglement in Spin-1/2 XX Chains
- Quantum discord evolution of three-qubit states under noisy channels
- Quantum Discord in the Ground and Thermal States of Spin Clusters
- Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures
- Entanglement in stationary nonequilibrium states at high energies
- Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
- On the effects of an impurity in an Ising- diamond chain on the thermal entanglement, on the quantum coherence and on the quantum teleportation
- Quantum correlations in a cluster-like system
- Classicality witness for two-qubit states
- Comparison of different measures for quantum discord under non-Markovian noise
- Quantum Correlation in One-dimensional Extend Quantum Compass Model
- Quantum Discord for Investigating Quantum Correlations without Entanglement in Solids
- Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid
- Benford's Law Detects Quantum Phase Transitions similarly as Earthquakes
- Quantum discord in a spin system with symmetry breaking
- Quantum Discord Surge Heralds Entanglement Revival in an Infinite Spin Chain
- Quantifying quantum coherence in a metal-silicate framework
- Phase transitions of the Dicke model: a unified perspective
- Entanglement of two harmonic modes coupled by angular momentum
- Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain
- Quantum correlation in three-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction
- Quantum discord in quantum computation
- Markovian evolution of classical and quantum correlations in transverse-field XY model
- Enhancing the geometric quantum discord in the Heisenberg {\it XX} chain by Dzyaloshinsky-Moriya interaction
- Thermal Fluctuations Enhance Order-from-Disorder of Quantum Correlations in Quenched Disordered Spin Models
- Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model
- Quantum uncertainty in critical systems with three spins interaction
- Dual quantum-correlation paradigms exhibit opposite statistical-mechanical properties
- Quantum correlated cluster mean-field theory applied to the transverse Ising model
- Quantum discord and information deficit in spin chains
- Quantum Discord, Decoherence and Quantum Phase Transitions
- Spotlighting quantum phase transition in spin-1/2 Ising-Heisenberg diamond chain employing Measurement-Induced Nonlocality
- Quantum correlations in Ising-XYZ diamond chain structure under an external magnetic field
- Exact scaling of geometric phase and fidelity susceptibility and their breakdown across the critical points
- Multicritical behavior of the fidelity susceptibility for the 2D quantum transverse-field model
- Quantum discord and related measures of quantum correlations in XY chains
- Thermal quantum discord in the Heisenberg chain with impurity
- Distribution of Mutual Information in Multipartite States
- Environment generated quantum correlations in bipartite qubit-qutrit systems
- Genuine correlations in finite-size spin systems
- Genuine tripartite entanglement as a probe of quantum phase transitions in a spin-1 Heisenberg chain with single-ion anisotropy
- Finite-temperature quantum discordant criticality
- Quantum steering ellipsoids and quantum obesity in critical systems
- Optimized Sampling of Mixed-State Observables
- Partitions of Correlated N-Qubit Systems
- Multipartite distribution property of one way discord beyond measurement
- Two-dimensional easy-plane SU magnet with the transverse field: Anisotropy-driven multicriticality
- Quantum Discord and Entanglement of Quasi-Werner States based on Entangled Coherent States
- Fidelity-mediated analysis of the transverse-field chain with the long-range interactions: Anisotropy-driven multi-criticality
- Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems
- Quantum Coherence Bounds the Distributed Discords
- Two-dimensional transverse-field model with the in-plane anisotropy and Dzyaloshinskii-Moriya interaction: Anisotropy-driven transition