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.
7 pages, 6 figures
References in corpus (6)
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Quantum Phase Transitions and Bipartite Entanglement
- Quantum discord and quantum phase transition in spin chains
- 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 (6)
- Quantum coherence and uncertainty in the anisotropic XY chain
- Global quantum correlations in finite-size spin chains
- Factorization and Criticality in the Anisotropic XY Chain via Correlations
- Multi-partite quantum nonlocality and Bell-type inequalities in an infinite-order quantum phase transition of the one-dimensional spin-1/2 XXZ chain
- Quantum uncertainty in critical systems with three spins interaction
- Spotlighting quantum phase transition in spin-1/2 Ising-Heisenberg diamond chain employing Measurement-Induced Nonlocality