Laser-Induced Processes in Molecules pp 155-157 | Cite as

# Dynamic Stark Splitting of Multiphoton Absorption Resonances

Conference paper

## Abstract

When a discrete state is coupled to a set of continuum states by interaction with laser radiation, what is the distribution of energies produced? Perturbation theory gives for the rate of N-quantum absorption:Where the interaction V couples the initial state s through the intermediate states ℓ to a set of final states continuum. As long as the concept of a time-independent rate is applicable, sautration effects in the form of induced widths and Stark shifts only modify the energies ω

$${R_N} = {\sum\limits_f {\left| {\sum\limits_{{\ell _1}{\ell _2}...{\ell _{n - 1}}} {\frac{{\left\langle {f\left| V \right|{\ell _1}} \right\rangle \left\langle {{\ell _1}\left| V \right|{\ell _1}} \right\rangle ...\left\langle {{\ell _{N - 1}}\left| V \right|S} \right\rangle }}{{\left( {{\omega _s} - {\omega _{{\ell _1}}}} \right)\left( {{\omega _s} - {\omega _{{\ell _1}}}} \right)...\left( {{\omega _s} - {\omega _{{\ell _{N - 1}}}}} \right)}}} } \right|} ^2}x\delta \left( {{\omega _s} - {\omega _f}} \right)$$

(1)

_{s}, ω_{ℓ}: the energy-conserving delta-function remains to indicate that only a very narrow range of final state energies are admissible. In reality we expect that a range of energies would be produced whose width (and possibly centre) would be intensity dependent. We will examine how non-perturbative approaches to this problem predict power broadening and (for multiphoton absorption) an AC Stark splitting of the continuum states produced by the laser excitation.## Keywords

Rabi Frequency Stark Shift Rabi Oscillation Multiphoton Absorption State Transition Frequency
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## References

- [1]P. L. Knight, Opt. Comm, 22, 173 (1977); J Phys. B (1978) in press, and Refs. therein.ADSCrossRefGoogle Scholar
- [2]M. V. Fedorov and A. E. Kazakov, Opt, Comm. 22, 421 (1977) and Refs. therein.CrossRefGoogle Scholar

## Copyright information

© Springer-Verlag Berlin Heidelberg 1979