https://doi.org/10.1140/epjp/i2017-11745-8
Regular Article
(2 + 1) -dimensional f-deformed Dirac oscillator as f-deformed AJC model
Department of Science, University of Kurdistan, Sanandaj, Iran
* e-mail: maajari@gmail.com
Received:
7
June
2017
Accepted:
6
October
2017
Published online:
6
November
2017
In this paper, we derive a f-deformed Hamiltonian for the anti-Jaynes-Cummings (AJC) model, using a trapped ion technology. We show that f-deformed Dirac oscillator is a mathematical description of the anti-Jaynes-Cummings model in a nonlinear Kerr-like medium. We prove that one can simulate the Zitterbewegung effect in the f-deformed version of the anti-Jaynes-Cummings model. We also study the non-relativistic limit of the f-deformed Dirac oscillator and interpret the Zitterbewegung effect in this limit with quantum optic interferometers.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017
