@article {sanders2010matter,
	title = {Matter-wave scattering from ultracold atoms in an optical lattice},
	journal = {Physical review letters},
	volume = {105},
	year = {2010},
	pages = {035301},
	publisher = {APS},
	abstract = {We study matter-wave scattering from an ultracold, many-body atomic system trapped in an optical lattice. The angular cross section of the target lattice for a matter wave is determined and is demonstrated to have a strong dependence on the many-body phase, superfluid, or Mott insulator. Analytical approaches are employed deep in the superfluid and Mott-insulator regimes, while intermediate points in the phase transition are treated numerically. Matter-wave scattering offers a convenient method for nondestructively probing the quantum many-body phase transition of atoms in an optical lattice.},
	url = {https://doi.org/10.1103/PhysRevLett.105.035301},
	author = {Sanders, Scott N and Mintert, Florian and Heller, EricJ.}
}
