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Quantum Entanglement in Heisenberg Antiferromagnets | | V. Subrahmanyam
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30 Aug 2003 | | Journal: | Phys. Rev. A69, 022311 (2004) | | Subject: | Quantum Physics; Strongly Correlated Electrons | quant-ph cond-mat.str-el | | Abstract: | 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. | | Source: | arXiv, quant-ph/0309004 | | Services: | Forum | Review | PDF | Favorites | |
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