Quantum entanglement between neutrino eigenstates in the presence of the subsequent phase shift of the neutrino oscillations

TL;DR

This paper investigates how quantum entanglement entropy evolves in neutrino oscillations with phase shifts, revealing asymmetrical growth over time and implications for cosmology.

Contribution

It introduces a novel analysis of entanglement entropy in neutrino oscillations with phase shifts, extending to three flavors, and highlights differences from standard oscillation theory.

Findings

Entanglement entropy increases asymmetrically over time.

Results are consistent for two-flavor and three-flavor neutrino oscillations.

Findings differ from standard neutrino oscillation predictions.

Abstract

In this Letter, using von Neumann entropy we examine the entanglement entropy for the neutrino oscillations in the presence of the subsequent phase shift. We numerically show that the entanglement entropy for the subsequent periods of the two-flavor neutrino oscillations increases asymmetrically with time depending on the space-time deformation. We also explored the obtained results for the three-flavor neutrino oscillations to show that this result is also valid for the three-flavor neutrino oscillations. These results, obtained for the first time in this Letter, are quite different from the computing for the standard neutrino oscillation theory. We concluded that these interesting results play an important role in the cosmology.