Abstract
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.
Highlights
Quantum entanglement is a fundamental resource in quantum information and computation science
Topics concerning the study of quantum correlations in paradigmatic quantum systems have been addressed in several branches of condensed matter, atomic physics, and quantum optics [1]
Some attention has been devoted to the investigation of entanglement in the context of elementary particles physics [2, 3, 4, 5, 6, 7, 8, 9]
Summary
Quantum entanglement is a fundamental resource in quantum information and computation science. [5, 6], it has been studied the behavior of single-particle, multi-mode entanglement associated to particle mixing and oscillations. By exploiting tools of quantum information theory, we quantify the content of multi-particle flavor entanglement in the QFT system of oscillating neutrinos.
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