English

Adiabatic Faraday effect in a two-level Hamiltonian formalism

Astrophysics of Galaxies 2010-12-24 v2 High Energy Astrophysical Phenomena High Energy Physics - Phenomenology

Abstract

The helicity of a photon traversing a magnetized plasma can flip when the B-field along the trajectory slowly reverses. Broderick and Blandford have recently shown that this intriguing effect can profoundly change the usual Faraday effect for radio waves. We study this phenomenon in a formalism analogous to neutrino flavor oscillations: the evolution is governed by a Schroedinger equation for a two-level system consisting of the two photon helicities. Our treatment allows for a transparent physical understanding of this system and its dynamics. In particular, it allows us to investigate the nature of transitions at intermediate adiabaticities.

Keywords

Cite

@article{arxiv.1006.4158,
  title  = {Adiabatic Faraday effect in a two-level Hamiltonian formalism},
  author = {Basudeb Dasgupta and Georg G. Raffelt},
  journal= {arXiv preprint arXiv:1006.4158},
  year   = {2010}
}

Comments

8 pages, 2 eps figures, and a note added. Title changed. Matches published version

R2 v1 2026-06-21T15:39:09.122Z