Stuttgart 2012 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 49: Quanteninformation: Konzepte und Methoden 5
Q 49.8: Talk
Thursday, March 15, 2012, 15:45–16:00, V7.01
Probability amplitudes of two-level atoms beyond the rotating wave approximation: Quantization of Rabi frequency — •Armen Hayrapetyan1,2 and Stephan Fritzsche3,4 — 1Physikalisches Institut, Universität Heidelberg, D-69120 Heidelberg, Germany — 2Max-Planck-Institut für Kernphysik, Postfach 103980, D-69029 Heidelberg, Germany — 3Department of Physics, P.O. Box 3000, Fin-90014 University of Oulu, Finland — 4GSI Helmholtzzentrum für Schwerionenforschung, D-64291 Darmstadt, Germany
The interaction of a two-level atom with a linearly polarized electromagnetic field is examined within the framework of semi-classical theory. Using an invariant approach to the Schrödinger equation, analytical solutions for the probability amplitudes of the atomic states are obtained beyond the typical rotating wave approximation. These solutions are constructed in close resemblance to relativistic quantum theory by making use of the invariant phase of radiation field. In particular, the population inversion is analyzed for the two-level atom both, within and beyond dipole approximations. It is shown, moreover, that a ``quantization'' of the Rabi frequency occurs, i.e. a discretization of this coupling strength, when one proceeds beyond rotating wave approximation.