Thermal entanglement in three-qubit Heisenberg models

Details Thermal entanglement in three-qubit Heisenberg models Thermal entanglement in three-qubit Heisenberg models

2001-05-16

arxiv.org/abs/quant-ph/0105075v2

J. Phys. A: Math. Gen. 34(50), 11307-11320(2001)

Physics

Quantum Physics

9 pages, 6 figures, minor revisions, resubmitted to J. Phys. A

Scientific paper

10.1088/0305-4470/34/50/312

We study pairwise thermal entanglement in three-qubit Heisenberg models and obtain analytic expressions for the concurrence. We find that thermal entanglement is absent from both the antiferromagnetic $XXZ$ model, and the ferromagnetic $XXZ$ model with anisotropy parameter $\Delta\ge 1$. Conditions for the existence of thermal entanglement are discussed in detail, as is the role of degeneracy and the effects of magnetic fields on thermal entanglement and the quantum phase transition. Specifically, we find that the magnetic field can induce entanglement in the antiferromagnetic $XXX$ model, but cannot induce entanglement in the ferromagnetic $XXX$ model.

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