Quantum spin-flavour memory of ultrahigh-energy neutrino
Abstract
There are two types of uncertainties related to the measurements done on a quantum system: statistical and those related to non-commuting observables and incompatible measurements. The latter indicates the quantum system's inherent nature and is in the scope of the present study. We explore uncertainties related to the interstellar ultrahigh-energy neutrino and introduce a novel concept: quantum spin-flavour memory. Advanced uncertainty measures are entropic measures, and the effect of the quantum memory reduces the uncertainty. The problem in question corresponds to a real physical event: high-energy Dirac neutrinos emitted by some distant source and propagating towards the earth. The neutrino has a finite magnetic moment and interacts with both deterministic and stochastic interstellar magnetic fields. To describe the effect of a noisy environment, we exploit the Lindblad master equation for the neutrino density matrix. Quantum spin-flavour memory we quantify in terms of the generalized Kraus's trade-off relation. This trade-off relation converts to the equality when quantum memory is absent. We discovered that while most measures of quantum correlations show their irrelevance, the quantum spin-flavour discord is the quantifier of the quantum spin-flavour memory.
Keywords
Cite
@article{arxiv.2202.06735,
title = {Quantum spin-flavour memory of ultrahigh-energy neutrino},
author = {P. Kurashvili and L. Chotorlishvili and K. A. Kouzakov and A. I. Studenikin},
journal= {arXiv preprint arXiv:2202.06735},
year = {2022}
}
Comments
11 pages, 8 figures, submitted to The European Physical Journal Plus