Resonant Feshbach scattering of fermions in one-dimensional optical lattices

Details Resonant Feshbach scattering of fermions in one-dimensional optical lattices Resonant Feshbach scattering of fermions in one-dimensional optical lattices

2007-05-25

arxiv.org/abs/0705.3754v1

Physics

Atomic and Molecular Clusters

Scientific paper

10.1088/0953-4075/40/13/014

We consider Feshbach scattering of fermions in a 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.

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