title: Lattice-induced resonances in one-dimensional bosonic systems.
abstract: We study the resonant effects produced when a Feshbach dimer crosses a scattering continuum band of atoms in an optical lattice. We numerically obtain the exact spectrum of two particles in a one-dimensional lattice and develop an effective atom-dimer Hamiltonian that accurately captures resonant effects. The lattice-induced resonances lead to the formation of bound states simultaneously above and below the scattering continuum and significantly modify the curvature of the dimer dispersion relation. The nature of the atom-dimer coupling depends strongly on the parity of the dimer state leading to a novel coupling in the case of negative parity dimers.
authors.affiliation: JILA, University of Colorado and National Institute of Standard and Technology, Boulder, Colorado 80309-0440, USA.
authors.forename: Javier
authors.initials: J
authors.lastname: von Stecher
authors.forename: Victor
authors.initials: V
authors.lastname: Gurarie
authors.forename: Leo
authors.initials: L
authors.lastname: Radzihovsky
authors.forename: Ana Maria
authors.initials: AM
authors.lastname: Rey