Coherent pulsed excitation of degenerate multistate systems: Exact analytic solutions
Abstract
We show that the solution of a multistate system composed of N degenerate lower (ground) states and one upper (excited) state can be reduced by using the Morris-Shore transformation to the solution of a two-state system involving only the excited state and a (bright) superposition of ground states. In addition, there are N-1 dark states composed of ground states. We use this decomposition to derive analytical solutions for degenerate extensions of the most popular exactly soluble models: the resonance solution, the Rabi, Landau-Zener, Rosen-Zener, Allen-Eberly and Demkov-Kunike models. We suggest various applications of the multistate solutions, for example, as tools for creating multistate coherent superpositions by generalized resonant pi-pulses. We show that such generalized pi-pulses can occur even when the upper state is far off resonance, at special detunings, which makes it possible to operate in the degenerate ground-state manifold without populating the (possibly lossy) upper state, even transiently.
Keywords
Cite
@article{arxiv.0802.4254,
title = {Coherent pulsed excitation of degenerate multistate systems: Exact analytic solutions},
author = {E. S. Kyoseva and N. V. Vitanov},
journal= {arXiv preprint arXiv:0802.4254},
year = {2008}
}
Comments
11 pages, 6 figures