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

  title={Berry phase of the Tavis-Cummings model with three modes of oscillation},
  author={E. Choreno and D. Ojeda-Guill'en and R. Valencia and V. D. Granados},
  journal={Journal of Mathematical Physics},
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 the similarity transformations of the displacement operator performed to the generators of each group, and let us diagonalize these Hamiltonians. Then, we introduce a trilinear form of the Tavis-Cummings model to compute the $SU(1,1)$ and $SU(2)$ Berry phases of this model. 
1 Citations
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