Neutrino decoherence from generalised uncertainty
Abstract Quantum gravity models predict a minimal measurable length which gives rise to a modification in the uncertainty principle. One of the simplest manifestations of these generalised uncertainty principles is the linear quadratic generalised uncertainty principle which leads to a modified Heis...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11565-0 |
| _version_ | 1797789623893622784 |
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| author | Indra Kumar Banerjee Ujjal Kumar Dey |
| author_facet | Indra Kumar Banerjee Ujjal Kumar Dey |
| author_sort | Indra Kumar Banerjee |
| collection | DOAJ |
| description | Abstract Quantum gravity models predict a minimal measurable length which gives rise to a modification in the uncertainty principle. One of the simplest manifestations of these generalised uncertainty principles is the linear quadratic generalised uncertainty principle which leads to a modified Heisenberg algebra. This can alter the usual von-Neumann evolution of density matrix to a Lindblad-type equation. We show how this can give rise to a decoherence in neutrino propagation in vacuum. The decoherence effects due to the linear quadratic generalised uncertainty principle are extremely minimal and is unlikely to be detectable in the existing or upcoming experimental facilities for any of the natural sources of neutrinos. We also show that, in principle, there can be other variants of generalised uncertainty principle which predicts verifiable decoherence effects for the cosmic neutrino background. |
| first_indexed | 2024-03-13T01:53:19Z |
| format | Article |
| id | doaj.art-3bcdc9e3689f414a8d43b249183e44da |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-13T01:53:19Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-3bcdc9e3689f414a8d43b249183e44da2023-07-02T11:24:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-05-0183511210.1140/epjc/s10052-023-11565-0Neutrino decoherence from generalised uncertaintyIndra Kumar Banerjee0Ujjal Kumar Dey1Department of Physical Sciences, Indian Institute of Science Education and Research BerhampurDepartment of Physical Sciences, Indian Institute of Science Education and Research BerhampurAbstract Quantum gravity models predict a minimal measurable length which gives rise to a modification in the uncertainty principle. One of the simplest manifestations of these generalised uncertainty principles is the linear quadratic generalised uncertainty principle which leads to a modified Heisenberg algebra. This can alter the usual von-Neumann evolution of density matrix to a Lindblad-type equation. We show how this can give rise to a decoherence in neutrino propagation in vacuum. The decoherence effects due to the linear quadratic generalised uncertainty principle are extremely minimal and is unlikely to be detectable in the existing or upcoming experimental facilities for any of the natural sources of neutrinos. We also show that, in principle, there can be other variants of generalised uncertainty principle which predicts verifiable decoherence effects for the cosmic neutrino background.https://doi.org/10.1140/epjc/s10052-023-11565-0 |
| spellingShingle | Indra Kumar Banerjee Ujjal Kumar Dey Neutrino decoherence from generalised uncertainty European Physical Journal C: Particles and Fields |
| title | Neutrino decoherence from generalised uncertainty |
| title_full | Neutrino decoherence from generalised uncertainty |
| title_fullStr | Neutrino decoherence from generalised uncertainty |
| title_full_unstemmed | Neutrino decoherence from generalised uncertainty |
| title_short | Neutrino decoherence from generalised uncertainty |
| title_sort | neutrino decoherence from generalised uncertainty |
| url | https://doi.org/10.1140/epjc/s10052-023-11565-0 |
| work_keys_str_mv | AT indrakumarbanerjee neutrinodecoherencefromgeneraliseduncertainty AT ujjalkumardey neutrinodecoherencefromgeneraliseduncertainty |