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arXiv · 1908.00190

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

E. Choreño·D. Ojeda-Guillén·R. Valencia·V. D. Granados
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Abstract

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.

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E. Choreño, D. Ojeda-Guillén, R. Valencia, V. D. Granados. 2019-08-01. Berry phase of the Tavis-Cummings model with three modes of oscillation. https://doi.org/10.1063/1.5123624

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