2015/12/09 by Zisheng Wang, Hui Pan, Wang, Zisheng +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Muon and positron interactions and applications #Neutrino Physics Research #Particle accelerators and beam dynamics #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1512.02777
openalex publication_date 2015/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a new approach to explore CPT violation of neutrino oscillation through a fluctuating matter based on time-dependent geometric quantities. By mapping the neutrino oscillation onto a Poincare sphere structure, we obtain an analytic solution of master equation and further define the geometric quantities, i.e., radius of Poincare sphere and geometric phase. We find that the mixing process between electron and muon neutrinos can be described by the radius of Poincare sphere that depends on the intrinsic CP-violating angle. Such a radius reveals a dynamic mechanism of CPT-violation, i.e., both spontaneous symmetry breaking and Majorana-Dirac neutrino confusion. We show that the time-dependent geometric phase can be used to find the neutrino nature and observe the CPT-violation because it is strongly enhanced under the neutrino propagation. We further show that the time-dependent geometric phase can be easily detected by simulating the neutrino oscillation based on fluctuating magnetic fields in nuclear magnetic resonance, which makes the experimental observation of CPT-violation possible in the neutrino mixing and oscillation.