Physics – Quantum Physics
Scientific paper
2011-10-04
Physics
Quantum Physics
Scientific paper
Entanglement and violation of Bell inequalities were the same peculiar aspect of Quantum Mechanics for many years: non-locality. It is now known that this equivalence is not complete, but only true for pure states. We present a study of the relation between entanglement and violation of Bell inequalities at a quantum phase transition, for two spin-1/2 particles in a infinity one dimensional chain described by the XXZ model. Unexpectedly, we show that although the nearest-neighbors spins are entangled they never violate the Bell inequality. This indicates that entanglement may not only be relevant to the quantum phase transition, but that the kind of entanglement that is relevant is not trivial; it cannot be revealed by the Bell inequality. Nonetheless, despite not indicating non-locality, the Bell inequality is able to signal not only the first order phase transition present in the XXZ model, but also the infinity order Kosterlitz-Thouless quantum phase transition, which is not revealed by thermodynamical properties or bipartite entanglement.
de Oliveira Thiago R.
Justino L.
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