Gravitational Influence on the Quantum Speed Limit in Flavor Oscillations of Neutrino-Antineutrino System
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915060270497792 |
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| author | Jha, Abhishek Kumar Mukhopadhyay, Banibrata Dutta, Mriganka Pathak, Mayank Banerjee, Subhashish |
| author_facet | Jha, Abhishek Kumar Mukhopadhyay, Banibrata Dutta, Mriganka Pathak, Mayank Banerjee, Subhashish |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_18604 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gravitational Influence on the Quantum Speed Limit in Flavor Oscillations of Neutrino-Antineutrino System Jha, Abhishek Kumar Mukhopadhyay, Banibrata Dutta, Mriganka Pathak, Mayank Banerjee, Subhashish General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics 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. |
| title | Gravitational Influence on the Quantum Speed Limit in Flavor Oscillations of Neutrino-Antineutrino System |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2411.18604 |