Three-mode two-boson Jaynes-Cummings model in trapped ions

Abstract

In this paper, we analyse a two-boson three-mode Jaynes-Cummings modelwhich can be implemented in the context of trapped ions. The symmetries of the Hamiltonian are brought to light and analysed in detail in order to solve the eigenvalue problem. The calculation of the time evolution operator shows the possibility of realizing interesting applications, such as the generation of nonclassical states