Problem of double resonance in a three-level system

Christopher Feuillade, C. Böttcher

Mikhail M. Ivanenko, V. V. Churakov

Karl F. Freed

The matrix elements of the time-development operator are obtained exactly for the influence of many resonant or near-resonant fields on a system with a finite number of levels for arbitrary initial conditions in a wide class of problems. Perturbative techniques are presented which enable the exact treatment of all perturbations to a desired order. As examples, a three-level double-resonance and two eight-level triple-resonance systems are given. The applications of these exact solutions to the treatment of perturbations, including relaxation phenomena, are presented using both standard-perturbation-theory and density-matrix techniques.

Jesse S. Hersch, Eric J. Heller

Lewis S. Klein, Michel Giraud, A. Ben‐Reuven

The effect of a strong perturbing radiation field on spectral lines is studied using an extension of the Kubo-Zwanzig-Fano relaxation formalism. The problem of a dilute gas interacting with a strong perturbing field and a weak probe field is solved, assuming a separation of collisional and radiative processes, by introducing a classical-field renormalization technique. The solution is formulated entirely in terms of linear-response functions. This method is applied to the problem of the three-level absorber perturbed by a strong field and probed by a weak field. Multiphoton transitions, double resonance, and dynamic Stark effects can be treated as manifestations of this three-level problem.

D. Klakow, M. Weber, P.‐G. Reinhard