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.
Keywords
- Coherent State
- Annihilation Operator
- Path Integral Formalism
- Complex Conjugate Eigenvalue
- Time Reversal Operator
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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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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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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DOI: https://doi.org/10.1007/978-3-319-31356-6_5
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