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.

Original languageEnglish
Article number111704
JournalJournal of Mathematical Physics
Volume60
Issue number11
DOIs
StatePublished - 1 Nov 2019

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