Quantum spin-flavour memory of ultrahigh-energy neutrino
National Centre for Nuclear Research, 00-681, Warsaw, Poland
2 Department of Physics and Medical Engineering, Rzeszów University of Technology, 35-959, Rzeszów, Poland
3 Department of Nuclear Physics and Quantum Theory of Collisions, Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
4 Department of Theoretical Physics, Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
5 Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia
Accepted: 7 February 2022
Published online: 16 February 2022
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 is quantified 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.
© The Author(s) 2022
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