Physics – Quantum Physics
Scientific paper
2003-12-03
Phys. Rev. A 70, 032333 (2004)
Physics
Quantum Physics
v3: 7 pages, including 4 figures and 1 table. Published version. v2: One section (V) added and references updated
Scientific paper
10.1103/PhysRevA.70.032333
We discuss entanglement in the spin-1/2 anisotropic ferromagnetic Heisenberg chain in the presence of a boundary magnetic field generating domain walls. By increasing the magnetic field, the model undergoes a first-order quantum phase transition from a ferromagnetic to a kink-type phase, which is associated to a jump in the content of entanglement available in the system. Above the critical point, pairwise entanglement is shown to be non-vanishing and independent of the boundary magnetic field for large chains. Based on this result, we provide an analytical expression for the entanglement between arbitrary spins. Moreover the effects of the quantum domains on the gapless region and for antiferromagnetic anisotropy are numerically analysed. Finally multiparticle entanglement properties are considered, from which we establish a characterization of the critical anisotropy separating the gapless regime from the kink-type phase.
Alcaraz Francisco Castilho
Saguia Andreia
Sarandy Marcelo S.
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