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arXiv · 0709.2557

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

A. Bermudez·M. A. Martin-Delgado·A. Luis
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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.

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A. Bermudez, M. A. Martin-Delgado, A. Luis. 2008-03-28. Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect. https://doi.org/10.1103/physreva.77.033832

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