Abstract: | By using the Lewis–Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in the interaction
system of multi-atom with single-mode photon field with imaginary photon process. We find that the geometric phases in a cycle
case have nothing to do with the frequency of the photon field, the coupling coefficient between photons and atoms, and the
atom transition frequency. If we use the more accuracy device, the geometric phases in the imaginary photon process may be
observed, and the geometric phases in this process have the observable physical effect. |