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Entanglement in Quantum Field Theory: particle mixing and oscillations

2013; IOP Publishing; Volume: 442; Linguagem: Inglês

10.1088/1742-6596/442/1/012070

1742-6596

Massimo Blasone, Fabio Dell’Anno, Silvio De Siena, Fabrizio Illuminati,

Quantum Mechanics and Applications

The phenomena of particle mixing and flavor oscillations in elementary particle physics are associated with multi-mode entanglement of single-particle states. We show that, in the framework of quantum field theory, these phenomena exhibit a fine structure of quantum correlations, as multi-mode multi-particle entanglement appears. Indeed, the presence of anti-particles adds further degrees of freedom, thus providing nontrivial contributions both to flavor entanglement and, more generally, to multi-partite entanglement. By using the global entanglement measure, based on the linear entropies associated with all the possible bipartitions, we analyze the entanglement in the multiparticle states of two-flavor neutrinos and anti-neutrinos. A direct comparison with the instance of the quantum mechanical Pontecorvo single-particle states is also performed.