Quantum Entanglement in Heisenberg Antiferromagnets

Details Quantum Entanglement in Heisenberg Antiferromagnets Quantum Entanglement in Heisenberg Antiferromagnets

2003-08-30

arxiv.org/abs/quant-ph/0309004v2

Phys. Rev. A69, 022311 (2004)

Physics

Quantum Physics

7 pages, 3 figures

Scientific paper

10.1103/PhysRevA.69.022311

Entanglement sharing among pairs of spins in Heisenberg antiferromagnets is investigated using the concurrence measure. For a nondegenerate S=0 ground state, a simple formula relates the concurrence to the diagonal correlation function. The concurrence length is seen to be extremely short. A few finite clusters are studied numerically, to see the trend in higher dimensions. It is argued that nearest-neighbour concurrence is zero for triangular and Kagome lattices. The concurrences in the maximal-spin states are explicitly calculated, where the concurrence averaged over all pairs is larger than the S=0 states.

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