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Path Integral for an Effective Two Level Atom in a Kerr-Like Medium and Stark Shift with a Pseudo Hermitian Hamiltonian

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Abstract

We use the coherent state path integral and a angular model for the spin to solve the generalized Jaynes-Cummings model with a pseudo-hermitian Hamiltonian and nonlinear Kerr cavity. The propagators are given explicitly as perturbation series. These are summed up exactly. The energy spectrum and the bi-orthonormal basis of states are deduced.

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Acknowledgments

This research is supported by CNEPRU research project code D01320130009.

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Authors and Affiliations

  1. Laboratoire de Physique Energétique Appliquée (LPEA), Département de Physique, Faculté des Sciences de la Matière, Université Batna 1, Batna, Algeria

    Mekki Aouachria

  2. Laboratoire de Physique des Rayonnements et de leurs Interactions avec la Matière (PRIMALAB), Département de Physique, Faculté des Sciences de la Matière, Université Batna 1, Batna, Algeria

    Yazid Delenda

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  1. Mekki Aouachria
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  2. Yazid Delenda
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Correspondence to Mekki Aouachria.

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Aouachria, M., Delenda, Y. Path Integral for an Effective Two Level Atom in a Kerr-Like Medium and Stark Shift with a Pseudo Hermitian Hamiltonian. Int J Theor Phys 56, 271–283 (2017). https://doi.org/10.1007/s10773-016-3160-2

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  • DOI: https://doi.org/10.1007/s10773-016-3160-2

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