Resonant excitation amidst dephasing: An exact analytic solution (4 pages)

Nikolay V. Vitanov, Peter A. Ivanov

H. Kalt, Claus F. Klingshirn

Elica S. Kyoseva, Nikolay V. Vitanov

An exact analytic solution is presented for coherent resonant excitation of a two-state quantum system driven by a time-dependent pulsed external field with a hyperbolic-secant shape in the presence of dephasing. Analytic results are derived for the amplitude and phase shift of the damped Rabi oscillations.

Bernhard Rauer

Lewis J. Rothberg

Peter A. Ivanov, Nikolay V. Vitanov

An analytic description of adiabatic evolution of a two-state system in the presence of dephasing processes is presented. The adiabatic solution of the Bloch equation is derived in the most general case of a mixed initial state. Examples of the general analytic solution are given in the particular cases of energy-level crossing, no crossing, and half crossing.