Effective low-dimensional Hamiltonian for strongly interacting atoms in a transverse trap

Details Effective low-dimensional Hamiltonian for strongly interacting atoms in a transverse trap Effective low-dimensional Hamiltonian for strongly interacting atoms in a transverse trap

2007-07-30

arxiv.org/abs/0707.4392v2

Phys. Rev. A 76, 063610 (2007)

Physics

Condensed Matter

Other Condensed Matter

v2: 5 pages, 1 figure; expanded presentation of the formalism

Scientific paper

10.1103/PhysRevA.76.063610

We derive an effective low-dimensional Hamiltonian for strongly interacting ultracold atoms in a transverse trapping potential near a wide Feshbach resonance. The Hamiltonian includes crucial information about transverse excitations in an effective model with renormalized interaction between atoms and composite dressed molecules. We fix all the parameters in the Hamiltonian for both one- and two-dimensional cases.

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