Coherent pulsed excitation of degenerate multistate systems: Exact analytic solutions
- Department of Physics, Sofia University, James Bourchier 5 Boulevard, 1164 Sofia (Bulgaria)
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 specific detunings, which makes it possible to operate in the degenerate ground-state manifold without populating the (possibly lossy) upper state, even transiently.
- OSTI ID:
- 20974615
- Journal Information:
- Physical Review. A, Vol. 73, Issue 2; Other Information: DOI: 10.1103/PhysRevA.73.023420; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
Similar Records
Coherent control of a quantum transition by a phase jump
Evolution of superpositions of quantum states through a level crossing