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arXiv:quant-ph/0405060 · Physical Review A

Thermal entanglement of spins in the Heisenberg model at low temperatures

M. Asoudeh, Vahid Karimipour

Published Nov 9, 2004• 38 citations
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Abstract

We calculate the entanglement between two spins in the ferromagnetic Heisenberg chain at low temperatures, and show that when only the ground state and the one-particle states are populated, the entanglement profile is a Gaussian with a characteristic length depending on the temperature and the coupling between spins. The magnetic field affects only the amplitude of the profile and not its characteristic length.

DOI
10.1103/physreva.70.052307

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The thermal entanglement in a two-qubit Heisenberg XXZXXZXXZ spin chain is investigated under an inhomogeneous magnetic field bbb. We show that the ground-state entanglement is independent of the interaction of zzz-component Jz{J}_{z}Jz​. The thermal entanglement at the fixed temperature can be enhanced when Jz{J}_{z}Jz​ increases. We strictly show that for any temperature TTT and Jz{J}_{z}Jz​, the entanglement is symmetric with respect to zero inhomogeneous magnetic field, and the critical inhomogeneous magnetic field bc{b}_{c}bc​ is independent of Jz{J}_{z}Jz​. The critical magnetic field Bc{B}_{c}Bc​ increases with the increasing $\ensuremath{\mid}b\ensuremath{\mid}$ but the maximum entanglement value that the system can arrive at becomes smaller.
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