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

We present the time evolution of the electronic two-level model in the rotating wave approximation (RWA). We calculate the Aharonov-Anandan phase of the vector states with cyclic evolution either within the period of an external monochromatic electric field or the period corresponding to Rabi's...

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Bibliographic Details
Published inarXiv.org
Main Authors Thomaz, M T, Aguiar Pinto, A C, Moutinho, M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.04.2010
Subjects
Approximation
Electric fields
Evolution
Mathematical analysis
Product design
Rotation
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Summary:We present the time evolution of the electronic two-level model in the rotating wave approximation (RWA). We calculate the Aharonov-Anandan phase of the vector states with cyclic evolution either within the period of an external monochromatic electric field or the period corresponding to Rabi's frequency. The Aharonov-Anandan phase is shown to be dependent on the initial vector state, unless the system evolves in the adiabatic regime; in the latter case, the Aharonov-Anandan phase recovers Berry's phase. Our results are also discussed in the quasi-resonant regime.
ISSN:2331-8422