Matter Wave Scattering from Ultracold Atoms in an Optical Lattice

Details Matter Wave Scattering from Ultracold Atoms in an Optical Lattice Matter Wave Scattering from Ultracold Atoms in an Optical Lattice

2009-10-09

arxiv.org/abs/0910.1873v1

Physics

Condensed Matter

Quantum Gases

4 pages, 2 figures

Scientific paper

We study matter wave scattering from an ultracold, many body atomic system trapped in an optical lattice. We determine the angular cross section that a matter wave probe sees and show that it is strongly affected by the many body phase, superfluid or Mott insulator, of the target lattice. We determine these cross sections analytically in the first Born approximation, and we examine the variation at intermediate points in the phase transition by numerically diagonalizing the Bose Hubbard Hamiltonian for a small lattice. We show that matter wave scattering offers a convenient method for non-destructively probing the quantum many body phase transition of atoms in an optical lattice.

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