Optical perspective on the time-dependent Dirac oscillator

Abstract:The Dirac oscillator is a relativistic quantum system, characterized by its linearity in both position and momentum. Moreover, considering $(1{+}1)$ and $(2{+}1)$ dimensions, the system can be mapped onto the Jaynes-Cummings and anti-Jaynes-Cummings models, as illustrated in an exact manner by Bermudez \textit{et al.} [\href{ this https URL}{Phys. Rev. A 76, 041801(R) (2007)}]. Using the optical counterparts of the Dirac oscillator, we analyze an extension of the model that incorporates a time-dependent frequency. We focus on the consequences of these time modulations on the angular momentum observables and spin-orbit entanglement. Noticeable changes in the \emph{Zitterbewegung} are found. We show that a specific choice of time dependence yields aperiodic evolution of the observables, whereas an alternative choice allows analytical solutions.

arXiv:2512.18904 [quant-ph]

(or arXiv:2512.18904v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2512.18904 Focus to learn more arXiv-issued DOI via DataCite

Front. Phys. 14, 1772868 (2026)

https://doi.org/10.3389/fphy.2026.1772868 Focus to learn more DOI(s) linking to related resources

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