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arXiv · 2411.18604

Gravitational Influence on the Quantum Speed Limit in Flavor Oscillations of Neutrino-Antineutrino System

Abhishek Kumar Jha·Banibrata Mukhopadhyay·Mriganka Dutta·Mayank Pathak·Subhashish Banerjee
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Abstract

We investigate the quantum speed limit (QSL) during the time evolution of neutrino-antineutrino system under the influence of the gravitational field of a spinning primordial black hole (PBH). We derive an analytical expression for the four-vector gravitational potential in the underlying Hermitian Dirac Hamiltonian using the Boyer-Lindquist (BL) coordinates. This gravitational potential leads to an axial vector term in the Dirac equation in curved spacetime, contributing to the effective mass matrix of the neutrino-antineutrino systems. Our findings indicate that the gravitational field, expressed in BL coordinates, significantly influences the transition probabilities in two-flavor oscillations of the neutrino-antineutrino system. We then apply the expression for transition probabilities between states to analyze the Bures angle, which quantifies the closeness between the initial and final states of the time-evolved flavor state. We use this concept to probe the QSL for the time evolution of the initial flavor neutrino state.

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Abhishek Kumar Jha, Banibrata Mukhopadhyay, Mriganka Dutta, Mayank Pathak, Subhashish Banerjee. 2024-11-27. Gravitational Influence on the Quantum Speed Limit in Flavor Oscillations of Neutrino-Antineutrino System. https://arxiv.org/abs/2411.18604

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