Quantum discord in finite XY chains

Abstract

We examine the quantum discord between two spins in the exact ground state of finite spin 1/2 arrays with anisotropic XY couplings in a transverse field B. It is shown that in the vicinity of the factorizing field B_s, the discord approaches a common finite non-negligible limit which is independent of the pair separation and the coupling range. An analytic expression of this limit is provided. The discord of a mixture of aligned pairs in two different directions, crucial for the previous results, is analyzed in detail, including the evaluation of coherence effects, relevant in small samples and responsible for a parity splitting at B_s. Exact results for finite chains with first neighbor and full range couplings and their interpretation in terms of such mixtures are provided.

9 pages, 6 figures

References in corpus (12)

• Quantum discord and the power of one qubit
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Quantum discord and quantum phase transition in spin chains
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Divergence of the entanglement range in low dimensional quantum systems
• Theory of ground state factorization in quantum cooperative systems
• Separability and ground state factorization in quantum spin systems
• Entanglement of finite cyclic chains at factorizing fields
• Two-spin entanglement distribution near factorized states
• Separability and entanglement in finite dimer-type chains in general transverse fields
• Entanglement generation resonances in XY chains

Cited by in corpus (56)

• The classical-quantum boundary for correlations: discord and related measures
• Measures and applications of quantum correlations
• Quantum coherence and uncertainty in the anisotropic XY chain
• Quantum discord and its allies: a review
• Quantum discord for two-qubit X states: Analytical formula with very small worst-case error
• Quantum and classical correlations in the one-dimensional XY model with Dzyaloshinskii-Moriya interaction
• Theoretical and experimental aspects of quantum discord and related measures
• Factorization and Criticality in the Anisotropic XY Chain via Correlations
• Ground state factorization and correlations with broken symmetry
• Criticality, factorization and long-range correlations in the anisotropic XY-model
• Genuine Multipartite Entanglement in the $XY$ Model
• On the quantum discord of general X states
• Quantum discord in the ground state of spin chains
• Analytical solutions and criteria for the quantum discord of two-qubit X-states
• Witnessing nonclassical multipartite states
• Measurements, quantum discord and parity in spin 1 systems
• Fermionic Entanglement in Superconducting Systems
• Factorization and criticality in finite XXZ systems of arbitrary spin
• Quantum Correlation in One-dimensional Extend Quantum Compass Model
• Local Quantum Uncertainty in Two-Qubit Separable States: A Case Study
• Quantum correlations and least disturbing local measurements
• Various Correlations in Anisotropic Heisenberg XYZ Model with Dzyaloshinski-Moriya Interaction
• Benford's Law Detects Quantum Phase Transitions similarly as Earthquakes
• Quantum discord in a spin system with symmetry breaking
• NMR dynamics of quantum discord for spin-carrying gas molecules in a closed nanopore
• Quantum correlation in three-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction
• Geometric global quantum discord of two-qubit X states
• Enhancing the geometric quantum discord in the Heisenberg {\it XX} chain by Dzyaloshinsky-Moriya interaction
• Revealing Quantum Advantage in a Quantum Network
• Non-transverse factorizing fields and entanglement in finite spin systems
• Generalized conditional entropy in bipartite quantum systems
• Generalized conditional entropy optimization for qudit-qubit states
• Factorization in XYZ spin systems under general fields and separable ground state engineering
• Quantum discord and information deficit in spin chains
• Classical correlation and quantum entanglement in the mixed-spin Ising-XY model with Dzyaloshinskii-Moriya interaction
• Quantum Discord, Decoherence and Quantum Phase Transitions
• Entanglement and coherence in a spin-s XXZ system under non-uniform fields
• Temperature-field phase diagrams of one-way quantum work deficit in two-qubit XXZ spin systems
• Simulating of X-states and the two-qubit XYZ Heisenberg system on IBM quantum computer
• Quantum discord and related measures of quantum correlations in XY chains
• Finite temperature detection of quantum critical points: a comparative study
• Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions
• Generalized Phase-Space Techniques to Explore Quantum Phase Transitions in Critical Quantum Spin Systems
• Thermal quantum discord in the Heisenberg chain with impurity
• Environment generated quantum correlations in bipartite qubit-qutrit systems
• Various correlations in a Heisenberg XXZ spin chain both in thermal equilibrium and under the intrinsic decoherence
• Phase diagram for the one-way quantum deficit of two-qubit X states
• Super-quantum discord in ferromagnetic and antiferromagnetic materials
• Separability and parity transitions in $XYZ$ spin systems under nonuniform fields
• Ground state separability and criticality in interacting many-particle systems
• Theoretical investigations of quantum correlations in NMR multiple-pulse spin-locking experiments
• On the possibility to detect quantum correlation regions with the variable optimal measurement angle
• Landau-type sudden transitions of quantum correlations
• Conditional purity and quantum correlation measures in two qubit mixed states
• Violation of the "information-disturbance relationship" in finite-time quantum measurements
• Quantum-classical equivalence and ground-state factorization