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Phys. Rev. A 76, 023417 (2007) [10 pages]

Chirping a two-photon transition in a multistate ladder

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Wolfgang Merkel, Holger Mack, and Wolfgang P. Schleich*
Institut für Quantenphysik, Universität Ulm, Albert-Einstein-Allee 11, D-89081 Ulm, Germany

Eric Lutz
Department of Physics, Universität Augsburg, D-86135 Augsburg, Germany

Gerhard G. Paulus
Department of Physics, Texas A&M University, College Station, Texas 77843, U.S.A.

Bertrand Girard
Laboratoire de Collisions, Agrégats et Réactivité (UMR 5589, CNRS-Université Paul Sabatier Toulouse 3), IRSAMC, Toulouse, France

Received 10 February 2007; published 20 August 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.023417
DOI:
10.1103/PhysRevA.76.023417
PACS:
32.80.−t, 42.50.Md, 02.10.De

*Electronic address: wolfgang.schleich@uni-ulm.de