Two-spin entanglement distribution near factorized states

@article{citeulike:2503798, abstract = {We study the two-spin entanglement distribution along the infinite S = 1/2 chain described by the XY model in a transverse field; closed analytical expressions are derived for the one-tangle and the concurrences Cr, with r being the distance between the two possibly entangled spins, for the values of the Hamiltonian parameters close to those corresponding to factorized ground states. The total amount of the entanglement, the fraction of such entanglement which is stored in pairwise entanglement and the way such fraction distributes along the chain are discussed, with attention focused on the dependence on the anisotropy of the exchange interaction. Near factorization a characteristic length scale naturally emerges in the system, which is specifically related with the entanglement properties and diverges at the critical point of the fully isotropic model. In general, we find that anisotropy rules a complex behavior of the entanglement properties, which results in the fact that more isotropic models, despite being characterized by a larger amount of the total entanglement, present a smaller fraction of the pairwise entanglement: the latter, in turn, is more evenly distributed along the chain, to the extent that, in the fully isotropic model at the critical field, the concurrences do not depend on r.}, author = {Baroni, Fabrizio and Fubini, Andrea and Tognetti, Valerio and Verrucchi, Paola }, citeulike-article-id = {2503798}, doi = {http://dx.doi.org/10.1088/1751-8113/40/32/010}, journal = {Journal of Physics A: Mathematical and Theoretical}, keywords = {2007, entanglement, quantum\_magnetism, quantum\_world, verrucchi}, number = {32}, pages = {9845--9857}, posted-at = {2008-03-10 17:52:21}, priority = {2}, title = {Two-spin entanglement distribution near factorized states}, url = {http://dx.doi.org/10.1088/1751-8113/40/32/010}, volume = {40}, year = {2007} }

TY - JOUR ID - citeulike:2503798 L3 - citeulike-article-id:2503798 N2 - We study the two-spin entanglement distribution along the infinite S = 1/2 chain described by the XY model in a transverse field; closed analytical expressions are derived for the one-tangle and the concurrences Cr, with r being the distance between the two possibly entangled spins, for the values of the Hamiltonian parameters close to those corresponding to factorized ground states. The total amount of the entanglement, the fraction of such entanglement which is stored in pairwise entanglement and the way such fraction distributes along the chain are discussed, with attention focused on the dependence on the anisotropy of the exchange interaction. Near factorization a characteristic length scale naturally emerges in the system, which is specifically related with the entanglement properties and diverges at the critical point of the fully isotropic model. In general, we find that anisotropy rules a complex behavior of the entanglement properties, which results in the fact that more isotropic models, despite being characterized by a larger amount of the total entanglement, present a smaller fraction of the pairwise entanglement: the latter, in turn, is more evenly distributed along the chain, to the extent that, in the fully isotropic model at the critical field, the concurrences do not depend on r. IS - 32 JF - Journal of Physics A: Mathematical and Theoretical EP - 9857 TI - Two-spin entanglement distribution near factorized states VL - 40 SP - 9845 KW - 2007 KW - entanglement KW - quantum_magnetism KW - quantum_world KW - verrucchi AU - Baroni, Fabrizio AU - Fubini, Andrea AU - Tognetti, Valerio AU - Verrucchi, Paola PY - 2007/// UR - http://dx.doi.org/10.1088/1751-8113/40/32/010 ER -