Quantum Correlations of Neutrinos in the Kerr-Newman Space-time

TL;DR

This study explores how the Kerr-Newman space-time affects quantum correlations of neutrinos, revealing significant impacts on oscillation probabilities and entanglement, with potential implications for neutrino-based quantum information.

Contribution

It is the first to analyze the influence of Kerr-Newman metric parameters on neutrino quantum correlations under weak-field approximation.

Findings

Inward propagation shows significant differences from Schwarzschild metric.

Angular momentum increases oscillation periods, charge decreases them.

Entanglement and coherence oscillate consistently despite parameter variations.

Abstract

Thanks to feeble interactions, neutrinos show special advantages in the field of quantum information (QM). The properties of quantum correlations (QCs) are fundamental for neutrino-based QM. In this paper, we investigate the influence of the Kerr--Newman metric on QCs by varying the metric parameters, namely the mass $M$, angular momentum per unit mass $a$, and charge $Q$. Both radial and non-radial neutrino propagation are considered under the weak-field approximation. The results show that, for inward propagation in the Kerr--Newman metric, the oscillation probabilities and QCs differ significantly from those obtained in the Schwarzschild metric. In the case of radial outward propagation, the angular momentum $a$ increases the oscillation period of the neutrino survival probability $P_{ee}$, entanglement, and nonlocality, whereas the charge $Q$ decreases the corresponding periods. For non-radial propagation, the modulation effects of $M$ and $a$ on the oscillation patterns of both probabilities and QCs become more pronounced. As $M$ increases, the oscillation probability remains within a higher-value range, whereas tripartite entanglement exhibits the opposite trend. Furthermore, our results reveal that, despite differences in their variation ranges, entanglement and coherence exhibit highly consistent oscillation behaviors in both radial and non-radial propagation cases. These findings provide broader quantitative support for the potential use of neutrinos as quantum information resources.