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 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.

arXiv comment20 pages, 3 figures; updated formalism; new discussions added; figure and reference list updated; to appear in Eur. Phys. J. C

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Cited by in corpus (5)

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• $\alpha$-attractor inflation modified by GUP in light of ACT observations
• Understanding gravitationally induced decoherence parameters in neutrino oscillations using a microscopic quantum mechanical model
• Generalized uncertainty principle and neutrino phenomenology
• Neutrino Decoherence via Modified Dispersion