Characterizing entanglement by momentum jump in the frustrated Heisenberg ring at a quantum phase transition

Journal Article · Fri Jul 15 00:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.012333· OSTI ID:20718341

Xiaofeng, Qian; Tao, Shi; Ying, Li; Song, Z ^[1]; Sun, C P ^[1]

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1. Department of Physics, Nankai University, Tianjin 300071 (China)

We study the pairwise concurrences, a measure of entanglement, of the ground states for the frustrated Heisenberg ring to explore the relation between entanglement and quantum phase transition associated with the momentum jump. The ground-state concurrences between any two sites are obtained analytically and numerically. It shows that the summation of all possible pairwise concurrences is an appropriate candidate to depict the phase transition. We also investigate the role that the momentum takes in the jump of concurrence at the critical points. We find that an abrupt momentum change results in the maximal concurrence difference of two degenerate ground states.

• OSTI ID: 20718341
• Journal Information: Physical Review. A, Vol. 72, Issue 1; Other Information: DOI: 10.1103/PhysRevA.72.012333; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
36 MATERIALS SCIENCE
GROUND STATES
HEISENBERG MODEL
INFORMATION THEORY
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS