AC-Stark Shift of Atomic Levels

Abstract

If a quantum system is found in a state with the energy E _i and is perturbed by an external electromagnetic field of amplitude F and frequency ω, then according to the Floquet theorem [2.1] a spectrum of the quasi-energy states E _i(F) ± Kω will appear in this system. The wave function of the state i of the quantum system has the form

$$\Psi (r,t) = \exp [ - i{E_i}(F)t]\sum\limits_K {{a_{K\varphi K(r)}}} \exp ( - iK\omega t) $$

.