Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model

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Abstract
We study the threshold temperature for pairwise thermal entanglement in the spin-1/2 isotropic Heisenberg model up to 11 spins and find that the threshold temperatures for odd and even number of qubits approach the thermal dynamical limit from below and above, respectively. The threshold temperature in the thermodynamical limit is estimated. In the four-particle Heisenberg model we find that the thermal state is a four-particle entangled state before a threshold temperature.

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