Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect
Quantum Physics
2009-11-13 v3 Other Condensed Matter
High Energy Physics - Theory
Abstract
We study the non-relativistic limit of a paradigmatic model in Relativistic Quantum Mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a novel kind of Zitterbewegung which persists in this non-relativistic regime, and leads to an observable deformation of the particle orbit. This effect can be interpreted in terms of a Ramsey Interferometric phenomenon, allowing an insightful connection between Relativistic Quantum Mechanics and Quantum Optics. Furthermore, subsequent corrections to the non-relativistic limit, which account for the usual spin-orbit Zitterbewegung, can be neatly understood in terms of a Mach-Zehnder interferometer.
Cite
@article{arxiv.0709.2557,
title = {Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect},
author = {A. Bermudez and M. A. Martin-Delgado and A. Luis},
journal= {arXiv preprint arXiv:0709.2557},
year = {2009}
}
Comments
RevTex4 file, color figures, submitted for publication