Julia Stasińska, Benjamin Rogers, Mauro Paternostro, Gabriele De Chiara, Anna Sanpera
We exploit rotationally invariant states as a reference test bed to detect beyond nearest-neighbor genuine tripartite entanglement in spin-1/2 models. We construct multipartite entanglement witnesses which act on a rotationally invariant subspace and use them to detect multipartite entanglement also in non rotationally invariant states. We exemplify our findings by analyzing in detail the anisotropic XXZ spin chain close to its phase transitions. We show how the emergence of multipartite entanglement between non-adjacent spins signals the breaking of the global SU(2) symmetry, a feature that is not captured by bipartite entanglement.
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http://arxiv.org/abs/1305.6225
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