Excitation of equidistant multilevel systems by an electric field

Aleksandr A. Makarov

V. A. Rantsevich, Nikolai N. Rogovtsov, В. А. Савва

V. M. Akulin, Александр Михайлович Дыхне

V. S. Kuz’min

Alexander S Mazurenko

An analytical method is formulated to solve the Schrödinger equation for a number of multilevel systems with dipole transitions between adjacent and non-adjacent levels in multifrequency fields. It is shown that orthogonal polynomials can be used to construct exact analytical solutions. The excitation dynamics of the three non-equidistant levels system is analysed in detail.

В. А. Савва, V. I. Zelenkov, A. S. Mazurenko

A method based on the use of integral transform and orthogonal polynomials is presented to obtain the analytic solutions of the equations for coherent dynamics of multilevel quantum systems as simple molecular models describing molecule-radiation interactions in the high-power laser field and many other processes. As an example the Jacobi polynomials have been used and exact analytic solution has been obtained for dynamics of the family of multilevel Jacobi systems with both equidistant and nonequidistant energy levels, with various dependencies of dipole transition moments on energy, with both resonant and non-resonant laser excitation. Some special cases of the solution for definite systems from the family are given.