Thermal robustness of multipartite entanglement of the 1-D spin 1/2 XY model

Abstract

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.

Revised, 11 pages, 7 figures

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• Divergence of the entanglement range in low dimensional quantum systems
• Entanglement of multiparty stabilizer, symmetric, and antisymmetric states
• Regional versus Global Entanglement in Resonating-Valence-Bond states
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Cited by in corpus (6)

• Entanglement detection
• The geometric measure of entanglement for symmetric states
• Multiqubit symmetric states with high geometric entanglement
• Entanglement marginal problems
• Interplay between spin frustration and thermal entanglement in the exactly solved Ising-Heisenberg tetrahedral chain
• Role of external fields in enhancing long-distance entanglement at finite temperatures