(2 + 1) -dimensional f-deformed Dirac oscillator as f-deformed AJC model
Department of Science, University of Kurdistan, Sanandaj, Iran
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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