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| related topics |
| {energy, state, states} |
| {entanglement, phys, rev} |
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| {observables, space, algebra} |
| {let, theorem, proof} |
| {bell, inequality, local} |
|
Two-spin entanglement distribution near factorized states
Fabrizio Baroni, Andrea Fubini, Valerio Tognetti, Paola Verrucchi
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 $C_r$, $r$
being the distance between the two possibly entangled spins, for values of the
Hamiltonian parameters close to those corresponding to factorized ground
states. The total amount of entanglement, the fraction of such entanglement
which is stored in pairwise entanglement, and the way such fraction distributes
along the chain is 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 entanglement properties and diverges at the critical point of the fully
isotropic model. In general, we find that anisotropy rule a complex behavior of
the entanglement properties, which results in the fact that more isotropic
models, despite being characterized by a larger amount of total entanglement,
present a smaller fraction of 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 $r$.
- oai_identifier:
- oai:arXiv.org:quant-ph/0702253
- categories:
- quant-ph cond-mat.stat-mech
- comments:
- 14 pages, 6 figures. Final version
- doi:
- 10.1088/1751-8113/40/32/010
- arxiv_id:
- quant-ph/0702253
- journal_ref:
- J. Phys. A: Math. Theor. 40 9845 (2007)
- created:
- 2007-02-27
- updated:
- 2007-07-30
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