Leggett-GargK3quantity discriminates between Dirac and Majorana neutrinos

Abstract

The K3 quantity, introduced in a context of the Leggett-Garg inequality violation, is studied for the neutrino oscillations in matter with phenomenologically modelled dissipative environment. It is shown that the K3 function acquires different values depending on whether neutrino is Dirac or Majorana particle, provided that there is a dissipative interaction between matter and neutrinos. The difference occurs for various matter densities and can serve as a potential quantifier verifying the neutrino nature. Moreover, working within phenomenological model one can suggest the values of the matter density and dissipation for which the difference is the most visible. There exist also special conditions in which the violation of the Leggett-Garg inequality, to a different extent for both kinds of neutrino, is observed.

Quantification of quantumness in neutrino oscillations

“…Afterwards, the NAQC for two-qubit states with high fidelity is experimentally demonstrated in an optics-based platform [38]. The information theoretic tools have many applications to solve the problems in NOs for the distinguishment the neutrinos nature between Dirac and Majorana fermions [39] and the mass-degeneracy problem [40]. Also, some progresses have been made on the correlation by virtue of flavor transition probabilities of NOs by quantum information theory, such as quantum discord [26], Svetlichny inequalities [25], concurrence [41,42], quantum coherence [43], and quantum estimation [44].…”

Entropic uncertainty relation in neutrino oscillations

“…Motivated by this, various attempts have been made to explore the quantumness of neutrino system by means of flavor transition probabilities, including Leggett-Garg inequality [24,[30][31][32], Svetlichny inequalities [29], quantum discord [23], quantum entanglement [33], and quantum coherence [26]. Moreover, the quan-tum information theoretic tools are capable of addressing some intractable issues in neutrino oscillations, which are the distinct problem of the neutrinos nature between Dirac and Majorana fermions [34], and the mass-degeneracy problem [35]. However, so far, there have been no observations on entropic uncertainty relations in neutrino systems.…”

Quantum contextuality of a single neutrino under interactions with matter

“…which allows to extract the 'Hamiltonian'  and 'dissipative'  (i.e. present in the open systems only) part of an effective time evolution generator  eff similarly as it was done in [30]. The notation r [ ] F v means that the density matrix is now represented by a 9-dimensional coherence-vector:…”

“…sin , cos , sin , for the angles α=π/5 and β=2π/5. Quantum non-locality of the Bell type related to quantum entanglement [28,29] and the one of the Leggett-Garg type [30][31][32] have been studied recently in a context of oscillating neutrino systems. In particular, [33] reports violation of the LGI in neutrino systems based upon the Main Injector Neutrino Oscillation Search experiment's data.…”