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

2007/03/22 by Rune Piil, Klaus Mølmer, Klaus Molmer · 8 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #Topological Materials and Phenomena #cond-mat.other

paper · pdf · doi:10.1103/physreva.76.023607

published as Phys. Rev. A 76, 023607 (2007) · 7 pages, 6 figures

arxiv created 2007/03/22 · openalex publication_date 2007/08/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

By adjusting the tunneling 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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