Adiabatic Faraday effect in a two-level Hamiltonian formalism

Details Adiabatic Faraday effect in a two-level Hamiltonian formalism Adiabatic Faraday effect in a two-level Hamiltonian formalism

2010-06-21

arxiv.org/abs/1006.4158v2

Phys.Rev.D82:123003,2010

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

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

Scientific paper

10.1103/PhysRevD.82.123003

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.

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