Physics – Quantum Physics
Scientific paper
2008-06-23
Phys. Rev. A 79, 042313 (2009)
Physics
Quantum Physics
Revised, 11 pages, 7 figures
Scientific paper
10.1103/PhysRevA.79.042313
We study the robustness of multipartite entanglement of the ground state of the one-dimensional spin 1/2 XY model with a transverse magnetic field in the presence of thermal excitations, by investigating a threshold temperature, below which the thermal state is guaranteed to be entangled. We obtain the threshold temperature based on the geometric measure of entanglement of the ground state. The threshold temperature reflects three characteristic lines in the phase diagram of the correlation function. Our approach reveals a region where multipartite entanglement at zero temperature is high but is thermally fragile, and another region where multipartite entanglement at zero temperature is low but is thermally robust.
Markham Damian
Murao Mio
Nakata Yoshifumi
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