Phys. Rev. A 69, 022311 (2004) [6 pages]Quantum entanglement in Heisenberg antiferromagnetsReceived 29 August 2003; revised 10 November 2003; published 20 February 2004 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. Various finite clusters are studied numerically, to see the trend in two dimensions. It is argued that the concurrences vanish between pairs of spins which are not nearest neighbors for the linear-chain and square-lattice antiferromagnet ground states. For the triangular lattice and Kagome’ lattice, nearest-neighbor concurrences also vanish. The concurrences in the maximal-spin states are explicitly calculated, where the concurrence averaged over all pairs is larger than the S=0 states. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.022311
DOI:
10.1103/PhysRevA.69.022311
PACS:
03.67.Hk, 03.65.Ud, 75.10.Jm
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.