Dresden 2011 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 57: Poster 3: Quantengase, Ultrakalte Atome, Ultrakalte Moleküle, Materiewellen Optik, Präzisionsmessungen, Metrologie
Q 57.76: Poster
Thursday, March 17, 2011, 16:30–19:30, P1
Berry phase in atom optics — •Polina V. Mironova1,2, Maxim A. Efremov3, and Wolfgang P. Schleich1 — 1Institut für Quantenphysik, Universität Ulm, D-89069 Ulm — 2Institut für Angewandte Physik, Technische Universität Darmstadt, D-64289 Darmstadt — 3LPTMS, Université Paris-Sud, 15 rue Georges Clémenceau, F-91405 Orsay cedex
We consider the scattering of a two-level atom from a near-resonant standing light wave. Within the Raman-Nath approximation on the atomic center-of-mass motion, adiabatic turn-on and -off of the interaction together with the rotating wave approximation we obtain a condition for the cancelation of the dynamical phase and show that the scattering picture is determined only by the Berry phase dependent on the internal and external atomic degrees of freedom. Moreover, we propose a novel possibility to observe the Berry phase based on the atomic lens construction. This application of the Berry phase might be useful in the lithography with cold atoms.
We enlarge our analysis of the Berry phase in atom optics by considering the case of atomic scattering by the traveling wave, where we take the kinetic energy operator into account. Here we present the exact solution in the case of the inverse-cosh envelope of the electromagnetic field, and show that it is the same as the result derived within the Berry’s approach.