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

E. Choreño; D. Ojeda-Guillén; R. Valencia; V. D. Granados

doi:10.1063/1.5123624

paper

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

arXiv:1908.00190 · doi:10.1063/1.5123624

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 $S U (1, 1)$ and $S U (2)$ 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 $S U (1, 1)$ and $S U (2)$ Berry phases of this model.

11 pages