Quantum and classical correlations in the one-dimensional XY model with Dzyaloshinskii-Moriya interaction

Journal Article · Sun May 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.052112· OSTI ID:21546701

Benqiong, Liu; Bin, Shao; Jungang, Li; Jian, Zou ^[1]; Lianao, Wu ^[2]

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1. Key Laboratory of Cluster Science of Ministry of Education, and Department of Physics, Beijing Institute of Technology, Beijing 100081 (China)
2. Department of Theoretical Physics and History of Science, The Basque Country University (EHU/UPV), Post Office Box 644, ES-48080 Bilbao (Spain) and IKERBASQUE, Basque Foundation for Science, ES-48011 Bilbao (Spain)

We study the effect of Dzyaloshinskii-Moriya (DM) interaction on pairwise quantum discord, entanglement, and classical correlation in the anisotropic XY spin-half chain. Analytical expressions for both quantum and classical correlations are obtained from the spin-spin correlation functions. These pairwise quantities exhibit interesting behaviors in relation to the relative strengths of the physical parameters. For the infinite chain, we show that the quantum discord can be useful to highlight the quantum phase transition, especially for the long-distance spins, where entanglement decays rapidly. We observe nonanalyticities of the derivatives of both quantum and classical correlations with respect to the magnetic intensity at the critical point; interestingly, the DM interaction weakens the critical behavior in the derivatives of these correlations. While the DM interaction suppresses the standard behaviors of the XY model, it enhances surprisingly the pairwise entanglement for the third nearest neighbor spins.

• OSTI ID: 21546701
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM
ANISOTROPY
CORRELATION FUNCTIONS
CORRELATIONS
FUNCTIONS
INTERACTIONS
ONE-DIMENSIONAL CALCULATIONS
PARTICLE PROPERTIES
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
SPIN