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Resonant Feshbach scattering of fermions in one-dimensional optical lattices

M Grupp1, R Walser1, W P Schleich1, A Muramatsu2 and M Weitz3

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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 centre-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 centre-of-mass momentum due to the non-parabolic form of the energy band.


PACS

31.15.-p Calculations and mathematical techniques in atomic and molecular physics

05.30.Fk Fermion systems and electron gas

Subjects

Quantum gases, liquids and solids

Atomic and molecular physics

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 13 (14 July 2007)

Received 10 May 2007, in final form 17 May 2007

Published 20 June 2007



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