# Thermally stable multipartite entanglements in the frustrated Heisenberg hexagon

## TL;DR

This paper investigates the stability of multipartite entanglement in a frustrated antiferromagnetic Heisenberg hexagon, revealing that frustration enhances and sustains entanglement at all temperatures.

## Contribution

It provides an exact solution for the model and analyzes how frustration influences the robustness of multipartite entanglement against thermal effects.

## Key findings

- Multipartite entanglement is thermally stable due to frustration.
- Frustration opposes bipartite but promotes multipartite entanglement.
- Entangled states survive at any temperature in the model.

## 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.