2014/06/30 by Klaus Mayer, K. Ulrich Mayer, Alberto Rodriguez +2
Chemistry · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Lattice (music) #Optical lattice #Physics #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Scattering #Spectroscopy and Laser Applications #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.90.023629
published as Phys. Rev. A 90, 023629 (2014) · 12 pages, 11 figures
arxiv created 2014/07/24 · openalex publication_date 2014/08/25 · arxiv updated 2014/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 the number of particles, condensate depletion, and system size, is found.