Mukhopadhyay, B and Ganguly, SK (2020) Gravity-induced geometric phases and entanglement in spinors and neutrinos: Gravitational zeeman effect. In: Universe, 6 (10).
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Abstract
We show Zeeman-like splitting in the energy of spinors propagating in a background gravitational field, analogous to the spinors in an electromagnetic field, otherwise termed the Gravitational Zeeman Effect. These spinors are also found to acquire a geometric phase, in a similar way as they do in the presence of magnetic fields. However, in a gravitational background, the Aharonov-Bohm type effect, in addition to Berry-like phase, arises. Based on this result, we investigate geometric phases acquired by neutrinos propagating in a strong gravitational field. We also explore entanglement of neutrino states due to gravity, which could induce neutrino-antineutrino oscillation in the first place. We show that entangled states also acquire geometric phases which are determined by the relative strength between gravitational field and neutrino masses. © 2020 MDPI Multidisciplinary Digital Publishing Institute. All rights reserved.
| Item Type: | Journal Article |
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| Publication: | Universe |
| Publisher: | MDPI AG |
| Additional Information: | The copyright of this article belongs to MDPI AG |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 24 Feb 2021 10:23 |
| Last Modified: | 24 Feb 2021 10:23 |
| URI: | http://eprints.iisc.ac.in/id/eprint/67381 |
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