ORIGINAL RESEARCH article
Front. Phys.
Sec. Quantum Engineering and Technology
This article is part of the Research TopicRecent Mathematical and Theoretical Progress in Quantum MechanicsView all 8 articles
Optical perspective on the time-dependent Dirac oscillator
Provisionally accepted
- Department of Mathematics and Statistics, Universidade Estadual de Ponta Grossa, Ponta Grossa, Paraná, Brazil
Select one of your emails
You have multiple emails registered with Frontiers:
Notify me on publication
Please enter your email address:
If you already have an account, please login
You don't have a Frontiers account ? You can register here
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 et al. [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 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.
Keywords: angular momentum observables, anti-Jaynes-Cummings models, Dirac oscillator, Jaynes-Cummings, linearity, Momentum, Position, relativistic quantum system
Received: 21 Dec 2025; Accepted: 09 Feb 2026.
Copyright: © 2026 Tsutsui, Silva, de Castro and Andrade. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence:
Thiago T. Tsutsui
Fabiano M. Andrade
Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.