Light scattering by ultracold atoms in an optical lattice
Abstract
We investigate theoretically light scattering of photons by ultracold atoms in an optical lattice in the linear regime. A full quantum theory for the atomphoton interactions is developed as a function of the atomic state in the lattice along the Mottinsulatorsuperfluid phase transition, and the photonicscattering cross section is evaluated as a function of the energy and of the direction of emission. The predictions of this theory are compared with the theoretical results of a recent work on Bragg scattering in timeofflight measurements [A.M. Rey , Phys. Rev. A 72, 023407 (2005)]. We show that, when performing Bragg spectroscopy with light scattering, the photon recoil gives rise to an additional atomic sitetosite hopping, which can interfere with ordinary tunneling of matter waves and can significantly affect the photonicscattering cross section.
 Publication:

Physical Review A
 Pub Date:
 January 2010
 DOI:
 10.1103/PhysRevA.81.013404
 arXiv:
 arXiv:0904.0915
 Bibcode:
 2010PhRvA..81a3404R
 Keywords:

 37.10.Jk;
 42.50.p;
 03.75.Lm;
 37.10.Vz;
 Atoms in optical lattices;
 Quantum optics;
 Tunneling Josephson effect BoseEinstein condensates in periodic potentials solitons vortices and topological excitations;
 Mechanical effects of light on atoms molecules and ions;
 Quantum Physics;
 Condensed Matter  Quantum Gases
 EPrint:
 13 pages, 6 fig, (accepted in PRA)