Noncyclic geometric phases and helicity transitions for neutrino oscillations in a magnetic field

Abstract

We show that neutrino spin and spin-flavor transitions involve nonvanishing geometric phases. The geometric character of neutrino spin rotation is explored by studying the neutrino spin trajectory in the projective Hilbert space representation and its relation to the geometric phase. Analytical expressions are derived for noncyclic geometric phases. Several calculations are performed for different cases of rotating and nonrotating magnetic fields in the context of solar neutrinos and neutrinos produced inside neutron stars. Also the effects of adiabaticity, critical magnetic fields and cross boundary effects in the case of neutrinos emanating out of neutron stars are examined.

Revised. PRD version

References in corpus (4)

• The Equation of State of Hot, Dense Matter and Neutron Stars
• The Geometric Phase in Supersymmetric Quantum Mechanics
• Geometric phase for neutrino propagation in magnetic field
• Geometric phases in neutrino oscillations with nonlinear refraction

Cited by in corpus (6)

• Kicks of magnetized strange quark stars induced by anisotropic emission of neutrinos
• Gravity-Induced Geometric Phases and Entanglement in Spinors and Neutrinos: Gravitational Zeeman Effect
• Geometric and Majorana phases in neutrino oscillations
• Mixed state geometric phase for neutrino oscillations
• Quantum circuits for simulating neutrino propagation in matter
• Geometric phases in neutrino mixing