Critical Point Estimation and Long-Range Behavior in the One-Dimensional XY Model Using Thermal Quantum and Total Correlations
arXiv:1206.1019 · doi:10.1016/j.physleta.2012.09.007
Abstract
We investigate the thermal quantum and total correlations in the anisotropic XY spin chain in transverse field. While we adopt concurrence and geometric quantum discord to measure quantum correlations, we use measurement-induced nonlocality and an alternative quantity defined in terms of Wigner-Yanase information to quantify total correlations. We show that the ability of these measures to estimate the critical point at finite temperature strongly depend on the anisotropy parameter of the Hamiltonian. We also identify a correlation measure which detects the factorized ground state in this model. Furthermore, we study the effect of temperature on long-range correlations.
arXiv comment7 pages, 6 figures
References in corpus (29)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Introducing Quantum Discord
- Entanglement of a Pair of Quantum Bits
- Classical, quantum and total correlations
- The classical-quantum boundary for correlations: discord and related measures
- Entanglement in a simple quantum phase transition
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- On the Power of One Bit of Quantum Information
- Classical Correlation and Quantum Discord in Critical Systems
- Quantum Phase Transitions and Bipartite Entanglement
- Quantum correlations in spin chains at finite temperatures and quantum phase transitions
- Quantum discord and quantum phase transition in spin chains
- Global Quantum Discord in Multipartite Systems
- Quantum and classical thermal correlations in the XY spin-1/2 chain
- Entanglement and Spontaneous Symmetry Breaking in Quantum Spin Models
- Quantum and classical correlations in the one-dimensional XY model with Dzyaloshinskii-Moriya interaction
- Observable measure of bipartite quantum correlations
- Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions
- Spotlighting quantum critical points via quantum correlations at finite temperatures
- Bell inequalities and entanglement at quantum phase transition in the XXZ Model
- Long-range quantum discord in critical spin systems
- Ground state factorization and correlations with broken symmetry
- Quantum discord and classical correlations in the bond-charge Hubbard model: quantum phase transitions, ODLRO and violation of the monogamy property for discord
- Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
- Enhancement of pairwise entanglement from $\mathbbm{Z}_2$ symmetry breaking
- Witnessing nonclassical multipartite states
- Quantum information approach to the quantum phase transition in the Kitaev honeycomb model
Cited by in corpus (19)
- Measures and applications of quantum correlations
- Quantum coherence and uncertainty in the anisotropic XY chain
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Quantum Correlations and Coherence in Spin-1 Heisenberg Chains
- Measurement-induced nonlocality based on the trace norm
- Uncertainty-induced quantum nonlocality
- Global quantum correlations in finite-size spin chains
- Factorization and Criticality in the Anisotropic XY Chain via Correlations
- Scaling of quantum discord in spin models
- Criticality, factorization and long-range correlations in the anisotropic XY-model
- Dynamics of Quantum Coherence and Quantum Fisher Information After Sudden Quench
- Multi-partite quantum nonlocality and Bell-type inequalities in an infinite-order quantum phase transition of the one-dimensional spin-1/2 XXZ chain
- Global quantum discord and quantum phase transition in XY model
- Violation of Bell inequality in perfect translation invariant systems
- Quantum uncertainty in critical systems with three spins interaction
- Enhancing the geometric quantum discord in the Heisenberg {\it XX} chain by Dzyaloshinsky-Moriya interaction
- Bell-CHSH function approach to quantum phase transitions in matrix product systems
- Spotlighting quantum phase transition in spin-1/2 Ising-Heisenberg diamond chain employing Measurement-Induced Nonlocality
- Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench