Influence of gravity on the quantum speed limit in neutrino oscillations

TL;DR

This paper explores how gravitational fields influence quantum speed limits in neutrino oscillations, revealing faster flavor transitions and entanglement suppression near black holes, thus linking gravity and quantum dynamics.

Contribution

It introduces the analysis of quantum speed limits in neutrino systems under gravitational influence, highlighting the impact of gravity on flavor transition speeds and entanglement dynamics.

Findings

Increased gravitational strength accelerates flavor transitions.

Gravity causes rapid suppression of entanglement entropy.

Neutrino oscillations are significantly affected by gravitational fields.

Abstract

The quantum speed limits (QSLs) determine the minimal amount of time required for a quantum system to evolve from an initial to a final state. We investigate QSLs for the unitary evolution of the neutrino-antineutrino system in the presence of a gravitational field. It is known that the transition probabilities between neutrino and antineutrino in the framework of one and two flavors depend on the strength of the gravitational field. The behavior of the QSL time in the two-flavor system indicates fast flavor transitions as the gravitational field strength increases. Subsequently, we observe quick suppression of entanglement by exploring the speed limit for entanglement entropy of two-flavor oscillations in the neutrino-antineutrino system in the proximity of a spinning primordial black hole.