# Matrix diagonalization and exact solution of the k-photon Jaynes–Cummings model

@article{Choreno2018MatrixDA, title={Matrix diagonalization and exact solution of the k-photon Jaynes–Cummings model}, author={E. Choreno and D. Ojeda-Guill{\'e}n and V. D. Granados}, journal={The European Physical Journal D}, year={2018}, volume={72}, pages={1-7} }

Abstract
We study and exactly solve the two-photon and k-photon Jaynes–Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli matrices realization and the tilting transformation of the SU(2) group and let us diagonalize the Hamiltonian of these models by properly choosing the coherent state parameters of the transformation. Finally, we explicitly obtain the energy spectrum and eigenfunctions for each model.
Graphical abstract

## 4 Citations

Full Analytic Spectrum of Generalized Jaynes-Cummings Hamiltonians

- PhysicsTheoretical and Mathematical Physics
- 2019

We develop an analytic formalism using basic quantum mechanics techniques to successfully solve the multiphoton Jaynes–Cummings and the generalized Dicke Hamiltonians. For this, we split the…

Quantization of Some Generalized Jaynes-Cummings Models in a Kerr-Like Medium

- Physics
- 2020

Based on fundamental principles of quantum mechanics, we present a method for a rigorous analytic construction of the spectra of the one- and two-photon Jaynes-Cummings models in a Kerr medium. To…

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

- PhysicsJournal of Mathematical Physics
- 2019

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…

Algebraic approach and Berry phase of a Hamiltonian with a general SU(1, 1) symmetry

- MathematicsJournal of Mathematical Physics
- 2021

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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