Chiral and flavor oscillations in a hyperentangled neutrino state

TL;DR

This paper explores the complex quantum correlations in hyperentangled neutrino states, revealing how flavor, chirality, and spin oscillations influence entanglement and coherence, offering new insights into neutrino behavior.

Contribution

It demonstrates that neutrino states are hyperentangled, with oscillations redistributing quantum correlations among flavor, chirality, and spin degrees of freedom.

Findings

Neutrino states are hyperentangled with flavor, chirality, and spin.

Oscillations redistribute quantum correlations over time.

Analysis provides insights into measuring chiral oscillations.

Abstract

In addition to flavor oscillations, Dirac neutrinos also undergo the so-called chiral oscillations, a consequence of the free-particle dynamics under the Dirac equation. Such a transition between different chiralities affect the flavor transitions, but also can generate non-trivial correlations between the internal degrees of freedom of the particle. In this paper, we show that the state of a massive oscillating neutrino produced by weak interaction process, is an hyperentangled state, in which flavor, chirality, and spin exhibit non-trivial correlations. Using complete complementarity relations, we show that both chiral and flavor oscillations redistribute correlations and coherence in time among different partitions of the system. In a similar way, we consider a spin entangled lepton-antineutrino pair and show that there is a dynamical redistribution of spin-spin entanglement into correlations and coherence between the other degrees-of-freedom. Our analysis provides a complete characterization of the quantum correlations involved in lepton-antineutrino pairs and in single particle neutrino evolution, and provides a further insight on possible routes to interpret and measure chiral oscillations.