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Phys. Rev. A 64, 012313 (2001) [7 pages]

Entanglement in the quantum Heisenberg XY model

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Xiaoguang Wang
Institute of Physics and Astronomy, Aarhus University, DK-8000, Aarhus C, Denmark

Received 4 January 2001; published 12 June 2001

We study the entanglement in the quantum Heisenberg XY model in which the so-called W entangled states can be generated for 3 or 4 qubits. By the concept of concurrence, we study the entanglement in the time evolution of the XY model. We investigate the thermal entanglement in the two-qubit isotropic XY model with a magnetic field and in the anisotropic XY model, and find that the thermal entanglement exists for both ferromagnetic and antiferromagnetic cases. Some evidences of the quantum phase transition also appear in these simple models.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.012313
DOI:
10.1103/PhysRevA.64.012313
PACS:
03.67.Lx, 03.65.Ud, 75.10.Jm