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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classification 🪐 quant-ph cond-mat.otherhep-th

keywords non-relativisticlimitquantumdiraceffectmechanicsoscillatorramsey

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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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Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"
gr-qc 2026-04 conditional novelty 4.0

The energy spectra for Dirac particles in polar coordinates depend on both radial quantum number n ≥ 0 and angular quantum number m ≠ 0 after correcting minor errors in the original derivation.