Publication: Nonrelativistic limit in the 2+1 Dirac oscillator: a Ramsey-interferometry effect
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2008-03-18
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American Physical Society
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Abstract
We study the nonrelativistic limit of a paradigmatic model in relativistic quantum mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a different kind of Zitterbewegung which persists in this nonrelativistic 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 nonrelativistic limit, which account for the usual spin-orbit Zitterbewegung, can be neatly understood in terms of a Mach-Zehnder interferometer.
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©2008 The American Physical Society. We acknowledge financial support from the Spanish MEC project No. FIS2006-04885, the project No. CAM-UCM/910758 (A.B. and M.A.M.D.) and the UCM project No. PR1-A/07-15378 (A.L.). Additionally, we acknowledge support from a FPU MEC grant (A.B.), and the ESF Science Programme INSTANS 2005-2010 (M.A.M.D.).
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