Adiabatic and Non-Adiabatic Berry Phases in Generalized J-C Model of Multi-Photon Process

摘要

We derive the adiabatic and non-adiabatic Berry phases in the generalized Jaynes–Cummings model of multi-photon process. The results show that the adiabatic Berry phase is kept a constant independent of all the parameters, while the non-adiabatic approximate Berry phase is parameter-dependent, proportional to the average photon number m, and tends to be constant with the increasing detuning. In the case of exact n-photon resonance and an integer ratio of m, the two results coincide with each other, otherwise there appears an additional non-trivial phase factor.