# Topological phase in two flavor neutrino oscillations

@article{Mehta2009TopologicalPI, title={Topological phase in two flavor neutrino oscillations}, author={Poonam Mehta}, journal={Physical Review D}, year={2009}, volume={79}, pages={096013} }

We show that the phase appearing in neutrino flavor oscillation formulae has a geometric and topological contribution. We identify a topological phase appearing in the two flavor neutrino oscillation formula using Pancharatnam's prescription of quantum collapses between nonorthogonal states. Such quantum collapses appear naturally in the expression for appearance and survival probabilities of neutrinos. Our analysis applies to neutrinos propagating in vacuum or through matter. For the minimal…

## 27 Citations

Mixed state geometric phase for neutrino oscillations

- PhysicsPhysics Letters B
- 2020

Abstract The geometric picture of neutrino oscillations offers a unique way to study the quantum mechanics of this phenomenon. In this picture, the propagation of a neutrino beam is described by a…

Topological phase in two flavor neutrino oscillations and imprint of the CP phase

- Physics
- 2012

Abstract We show that the coherent phase involved in the neutrino oscillation formalism can be decomposed into two parts, one corresponding to the usual energy-dependent dynamical phase and the other…

Comment on " Topological phase in two flavor neutrino oscillations"

- Physics
- 2010

We critically analyze the claims with regard to the relevance of topological phases in the physics of neutrino oscillation made in a recent paper [Phys. Rev. D 79, 096013 (2009)] and point out some…

Geometric imprint of CP violation in two flavor neutrino oscillations

- Physics
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In vacuum or constant density matter, the two flavor neutrino oscillation formulae are insensitive to the presence of CP violating phases owing to the fact that the CP phase can be gauged away. In…

Reply to the comment on "Topological phase in two flavor neutrino oscillations"

- Physics
- 2010

In a recent paper, we showed that there is a neat geometric interpretation of two flavor neutrino oscillation formulae, and that the geometric phase involved in the physics of oscillations is…

Quantum correlations in neutrino oscillations in curved spacetime

- PhysicsPhysical Review D
- 2019

Gravity induced neutrino-antineutrino oscillations are studied in the context of one and two flavor scenarios. This allows one to investigate the particle-antiparticle correlations in two and four…

Geometric phase and neutrino mass hierarchy problem

- PhysicsJournal of Physics G: Nuclear and Particle Physics
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We study the geometric phase for neutrinos at various man-made facilities, such as the reactor and accelerator neutrino experiments. The analysis is done for the three flavor neutrino scenario, in…

Discerning the Nature of Neutrinos: Decoherence and Geometric Phases

- Physics
- 2020

We present new approaches to distinguish between Dirac and Majorana neutrinos. The first is based on the analysis of the geometric phases associated to neutrinos in matter, the second on the effects…

Gravity-Induced Geometric Phases and Entanglement in Spinors and Neutrinos: Gravitational Zeeman Effect

- Physics
- 2018

We show Zeeman-like splitting in the energy of spinors propagating in the background gravitational field, analogous to the spinors in electromagnetic field, otherwise termed as Gravitational Zeeman…

Exploration of CPT violation via time-dependent geometric quantities embedded in neutrino oscillation through fluctuating matter

- Physics, Mathematics
- 2015

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…

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