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Generalized Jaynes-Cummings Model with a Pseudo-Hermitian: A Path Integral Approach

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Non-Hermitian Hamiltonians in Quantum Physics

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 184))

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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

I am grateful to Dr. Yazid Delenda for suggestions regarding the manuscript. This work was 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-Batna1, Batna, Algeria

    Mekki Aouachria

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  1. Mekki Aouachria
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Correspondence to Mekki Aouachria .

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Editors and Affiliations

  1. Dipartimento di Energia, Università degli Studi di Palermo, Palermo, Italy

    Fabio Bagarello

  2. Dipartimento di Fisica e Chimica, Università degli Studi di Palermo, Palermo, Palermo, Italy

    Roberto Passante

  3. Matematica e Informatica, Università degli Studi di Palermo, Palermo, Italy

    Camillo Trapani

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Aouachria, M. (2016). Generalized Jaynes-Cummings Model with a Pseudo-Hermitian: A Path Integral Approach. In: Bagarello, F., Passante, R., Trapani, C. (eds) Non-Hermitian Hamiltonians in Quantum Physics. Springer Proceedings in Physics, vol 184. Springer, Cham. https://doi.org/10.1007/978-3-319-31356-6_5

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