Chirping a two-photon transition in a multi-state ladder
arXiv:quant-ph/0702122 · doi:10.1103/PhysRevA.76.023417
Abstract
We consider a two-photon transition in a specific ladder system driven by a chirped laser pulse. In the weak field limit, we find that the excited state probability amplitude arises due to interference of multiple quantum paths which are weighted by quadratic phase factors. The excited state population has the form of a Gauss sum which plays a prominent role in number theory.
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- Factorization of Numbers with the temporal Talbot effect: Optical implementation by a sequence of shaped ultrashort pulses
- Factorization of numbers with Gauss sums: I. Mathematical background
- Factorizing numbers with classical interference: several implementations in optics
- Coherent Control of spin-orbit precession with shaped laser pulses
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- Coherent transients mimicked by two-photon coherent control of a three-level system