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(2 + 1) -dimensional f-deformed Dirac oscillator as f-deformed AJC model

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Abstract.

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.

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Authors and Affiliations

  1. Department of Science, University of Kurdistan, Sanandaj, Iran

    M. R. Setare & P. Majari

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  1. M. R. Setare
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  2. P. Majari
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Correspondence to P. Majari.

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Setare, M.R., Majari, P. (2 + 1) -dimensional f-deformed Dirac oscillator as f-deformed AJC model. Eur. Phys. J. Plus 132, 458 (2017). https://doi.org/10.1140/epjp/i2017-11745-8

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  • DOI: https://doi.org/10.1140/epjp/i2017-11745-8

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