# Algebraic approach to the Tavis-Cummings model with three modes of oscillation

@article{Choreno2018AlgebraicAT, title={Algebraic approach to the Tavis-Cummings model with three modes of oscillation}, author={E. Choreno and D. Ojeda-Guill'en and V. D. Granados}, journal={Journal of Mathematical Physics}, year={2018} }

We study the Tavis-Cummings model with three modes of oscillation by using four different algebraic methods: the Bogoliubov transformation, the normal-mode operators, and the tilting transformation of the $SU(1,1)$ and $SU(2)$ groups. The algebraic method based on the Bogoliubov transformation and the normal-mode operators let us obtain the energy spectrum and eigenfunctions of a particular case of the Tavis-Cummings model, while with the tilting transformation we are able to solve the most…

## 4 Citations

Berry phase of the Tavis-Cummings model with three modes of oscillation

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In this paper we develop a general method to obtain the Berry phase of time-dependent Hamiltonians with a linear structure given in terms of the $SU(1,1)$ and $SU(2)$ groups. This method is based on…

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In this paper we study a general Hamiltonian with a linear structure given in terms of two different realizations of the $SU(1,1)$ group. We diagonalize this Hamiltonian by using the similarity…

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