a Departamento de Física, Universidad de Guadalajara, Revolución 1500, Guadalajara, Jalisco 44420, Mexico
b Departamento de Óptica, Facultad de Física, Universidad Complutense, Madrid 28040, Spain
Abstract:
We present a method of treating the interaction of a single three-level ion with two laser beams. The idea is to apply a unitary transformation such that the exact transformed Hamiltonian has one of the three levels decoupled for all values of the detunings. When one takes into account damping, the evolution of the system is governed by a master equation usually obtained via adiabatic approximation under the assumption of far-detuned lasers. To go around the drawbacks of this technique, we use the same unitary transformation to get an effective master equation.