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We present the time evolution of the electronic two-level model in therotating wave approximation (RWA). We calculate the Aharonov-Anandan phase ofthe vector states with cyclic evolution either within the period of an externalmonochromatic electric field or the period corresponding to Rabi's frequency.The Aharonov-Anandan phase is shown to be dependent on the initial vectorstate, unless the system evolves in the adiabatic regime; in the latter case,the Aharonov-Anandan phase recovers Berry's phase. Our results are alsodiscussed in the quasi-resonant regime.

Phases of the electronic two-level model under the rotating wave approximation