2018
DOI: 10.1088/1367-2630/aacb9f
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Quantum contextuality of a single neutrino under interactions with matter

Abstract: We study contextuality of the three neutrinos oscillations using the Klyachko-Can-BiniciogluShumovsky 5-observable test. We show how the interaction between neutrinos and normal matter affects contextuality-its loss and its possible revivals. We show that for open neutrino's system, interacting with an environment, revivals of contextuality survive in a presence of decoherence included in the neutrino's Lindblad-Kossakowski master equation in a simplest Markovian approximation.

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Cited by 11 publications
(7 citation statements)
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“…We will assume that the neutrinos follow the Gorini-Kossakowski-Sudarshan-Lindblad equation in the mass basis [5,6]. Other work formulates the decoherence and the relaxation scenarios in the flavor basis of neutrinos [48]. In the mass basis we have…”
Section: Theoretical Model For Neutrino Decoherence and Relaxationmentioning
confidence: 99%
See 1 more Smart Citation
“…We will assume that the neutrinos follow the Gorini-Kossakowski-Sudarshan-Lindblad equation in the mass basis [5,6]. Other work formulates the decoherence and the relaxation scenarios in the flavor basis of neutrinos [48]. In the mass basis we have…”
Section: Theoretical Model For Neutrino Decoherence and Relaxationmentioning
confidence: 99%
“…The Ref. [48] made available a Mathematica code to compute numerically the decoherence probability for different cases. In our case we solve analytically the Eq.…”
Section: A1 Probability Computationmentioning
confidence: 99%
“…The discovery of neutrino oscillations was the first evidence in favour of physics beyond the Standard Model, obviously attracting the particle community [16]. Complementary studies of neutrino oscillations from the perspective of quantum information and communication are naturally supported by an effective description of neutrinos, after limiting to a simplified two-flavour model, as a qubit [4,10,12,13,[17][18][19]. The time evolution of a neutrino qubit originates from a fundamental non-correspondence between the neutrino's flavour {|ν e , |ν µ } and massive states |1 , |2 .…”
Section: Introductionmentioning
confidence: 99%
“…Bell to develop the famous Bell inequity (BI) [20], the violation of which rules out the hypothesis of the hidden variable theory as an alternative of quantum mechanics. The Bell type inequalities have been a subject matter of various works, for example, in optical and electronic systems [21][22][23][24], in particle physics systems such as mesons [25,26] and neutrinos [27][28][29][30][31][32][33][34][35]. A time analog of the Bell inequality, known as Legget-Garg inequality has gained a lot of attention recently [36,37].…”
Section: Introductionmentioning
confidence: 99%