Tunnelling couplings in discrete lattices, single particle band structure and eigenstates of interacting atom pairs

Details Tunnelling couplings in discrete lattices, single particle band structure and eigenstates of interacting atom pairs Tunnelling couplings in discrete lattices, single particle band structure and eigenstates of interacting atom pairs

2007-03-22

arxiv.org/abs/cond-mat/0703573v1

Phys. Rev. A 76, 023607 (2007)

Physics

Condensed Matter

Other Condensed Matter

7 pages, 6 figures

Scientific paper

10.1103/PhysRevA.76.023607

By adjusting the tunnelling couplings over longer than nearest neighbor distances it is possible in discrete lattice models to reproduce the properties of the lowest energy band of a real, continuous periodic potential. We propose to include such terms in problems with interacting particles and we show that they have significant consequences for scattering and bound states of atom pairs in periodic potentials.

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