Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect

Details Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect

2007-09-17

arxiv.org/abs/0709.2557v3

Phys. Rev. A 77, 033832 (2008)

Physics

Quantum Physics

RevTex4 file, color figures, submitted for publication

Scientific paper

10.1103/PhysRevA.77.033832

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.

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