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Effects of a classical homogeneous gravitational field on the cavity-field entropy and generation of the Schrödinger-cat states in the Jaynes-Cummings model

  • Quantum Optics and Quantum Information
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Abstract.

In this paper, we examine the effects of the gravitational field on the dynamical evolution of the cavity-field entropy and the creation of the Schrödinger-cat state in the Jaynes-Cummings model. We consider a moving two-level atom interacting with a single mode quantized cavity-field in the presence of a classical homogeneous gravitational field. Based on an su(2) algebra, as the dynamical symmetry group of the model, we derive the reduced density operator of the cavity-field which includes the effects of the atomic motion and the gravitational field. Also, we obtain the exact solution and the approximate solution for the system-state vector, and examine the atomic dynamics. By considering the temporal evolution of the cavity-field entropy as well as the dynamics of the Q-function of the cavity-field we study the effects of the gravitational field on the generation of the Schrödinger-cat states of the cavity-field by using the Q-function, field entropy and approximate solution for the system-state vector. The results show that the gravitational field destroys the generation of the Schrödinger-cat state of the cavity-field.

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Authors and Affiliations

  1. Department of Physics, Islamic Azad University - Shahreza Branch, Shahreza, Isfahan, Iran

    M. Mohammadi

  2. Quantum Optics Group, Department of Physics, University of Isfahan, Isfahan, Iran

    M. H. Naderi & M. Soltanolkotabi

Authors
  1. M. Mohammadi
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  2. M. H. Naderi
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  3. M. Soltanolkotabi
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Correspondence to M. Mohammadi.

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Mohammadi, M., Naderi, M. & Soltanolkotabi, M. Effects of a classical homogeneous gravitational field on the cavity-field entropy and generation of the Schrödinger-cat states in the Jaynes-Cummings model. Eur. Phys. J. D 47, 295–302 (2008). https://doi.org/10.1140/epjd/e2008-00046-x

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  • DOI: https://doi.org/10.1140/epjd/e2008-00046-x

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