Geometric phase of neutrino propagating through dissipative matter

Abstract

We study the geometric phase (GP) in neutrino oscillation for both Dirac and Majorana neutrinos. We apply the kinematic generalization of the GP to quantum open systems that take into account the coupling to a dissipative environment. In the dissipationless case, the GP does not depend on the Majorana angle. It is not the case in the presence of dissipation and hence the GP can serve as a tool determining the type of the Dirac vs the Majorana neutrino.

4 pages, 3 figures

References in corpus (4)

• Entanglement in neutrino oscillations
• An experimental observation of geometric phases for mixed states using NMR interferometry
• Geometric phase with nonunitary evolution in presence of a quantum critical bath
• Impact of right-handed interactions on the propagation of Dirac and Majorana neutrinos in matter

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• Entanglement dynamics for two-level quantum systems coupled with massive scalar fields
• Noncyclic geometric phases and helicity transitions for neutrino oscillations in a magnetic field
• Interference phenomenon and geometric phase for Dirac neutrino in pion+ decay
• Mixed state geometric phase for neutrino oscillations
• Quantum speed of evolution of neutral mesons
• Geometric phases in neutrino mixing
• The NP right-chiral $CC$ coupling constant estimation in neutrino oscillation experiments