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Darmstadt 2008 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 22: Quantengase (Gitter II)

Q 22.1: Talk

Tuesday, March 11, 2008, 16:30–16:45, 1C

Resonant Feshbach scattering of fermions in one-dimensional optical lattices — •Michael Grupp1, Reinhold Walser1, Wolfgang Schleich1, Alejandro Muramatsu2, and Martin Weitz31Institut für Quantenphysik, Universität Ulm, Germany — 2Institut für Theoretische Physik III, Universität Stuttgart, Germany — 3Institut für Angewandte Physik der Universität Bonn, Germany

We consider Feshbach scattering of fermions in an one-dimensional optical lattice. By formulating the scattering theory in the crystal momentum basis, one can exploit the lattice symmetry and factorize the scattering problem in terms of center-of-mass and relative momentum in the reduced Brillouin zone scheme. Within a single-band approximation, we can tune the position of a Feshbach resonance with the center-of-mass momentum due to the non-parabolic form of the energy band. We present numerical results for the resonant scattering in an one-dimensional lattice. In order to understand this results we discuss an analytic model for the coherent tunneling of atoms and dimers in half spaces.

[1] M. Grupp et al., J. Phys. B 40 (2007) 2703-2718

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