Optical perspective on the time-dependent Dirac oscillator

• URL: http://arxiv.org/abs/2512.18904v1
• Date: Sun, 21 Dec 2025 22:27:08 GMT
• Title: Optical perspective on the time-dependent Dirac oscillator
• Authors: Thiago T. Tsutsui, Alison A. Silva, Antonio S. M. de Castro, Fabiano M. Andrade,
• Abstract summary: We analyze an extension of the model that incorporates a time-dependent frequency.<n>We focus on the consequences of these time modulations on the angular momentum observables and spin-orbit entanglement.<n>We show that a specific choice of time dependence yields aperiodic evolution of the observables, whereas an alternative choice allows analytical solutions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 \emph{et al.} [\href{ https://doi.org/10.1103/PhysRevA.76.041801}{Phys. Rev. A 76, 041801(R)}]. 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.

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