Thermally stable multipartite entanglements in the frustrated Heisenberg hexagon

Abstract

Thermally stable quantum states with multipartite entanglements led by frustration are found in the antiferromagnetic spin-1/2 Heisenberg hexagon. The model has been solved exactly to obtain all analytic expressions of eigenvalues and eigenfunctions. Detection and characterizations for various types of entanglements have been carried out in terms of concurrence and entanglement witnesses based on several thermodynamic observables. Variations of entanglement properties with respect to temperature and frustration are discussed. Even though the frustration opposes the bipartite entanglement, it favors the multipartite entanglement. Entangled states exhibit robustness against the thermal effects in the presence of frustration and they are found to survive at any temperature.

25 pages, double space, single column, 5 figures

References in corpus (7)

• Entanglement detection
• Quantum Phase Transitions and Bipartite Entanglement
• Entanglement in a first order quantum phase transition
• Energy as an Entanglement Witness for Quantum Many-Body Systems
• Multipartite entanglement detection via structure factors
• Thermal entanglement properties of small spin clusters
• Frustration, Area Law, and Interference in Quantum Spin Models