Matter-wave scattering from interacting bosons in an optical lattice
arXiv:1406.6303 · doi:10.1103/PhysRevA.90.023629
Abstract
We study the scattering of matter-waves from interacting bosons in a one-dimensional optical lattice, described by the Bose-Hubbard Hamiltonian. We derive analytically a formula for the inelastic cross section as a function of the atomic interaction in the lattice, employing Bogoliubov's formalism for small condensate depletion. A linear decay of the inelastic cross section for weak interaction, independent of number of particles, condensate depletion and system size, is found.
12 pages, 11 figures