title: Cavity-enhanced light scattering in optical lattices to probe atomic quantum statistics.
abstract: Different quantum states of atoms in optical lattices can be nondestructively monitored by off-resonant collective light scattering into a cavity. Angle resolved measurements of photon number and variance give information about atom-number fluctuations and pair correlations without single-site access. Observation at angles of diffraction minima provides information on quantum fluctuations insensitive to classical noise. For transverse probing, no photon is scattered into a cavity from a Mott insulator phase, while the photon number is proportional to the atom number for a superfluid.
authors.affiliation: Institut für Theoretische Physik, Universität Innsbruck, Innsbruck, Austria. IgorMekhov@uibk.ac.at
authors.forename: Igor B
authors.initials: IB
authors.lastname: Mekhov
authors.forename: Christoph
authors.initials: C
authors.lastname: Maschler
authors.forename: Helmut
authors.initials: H
authors.lastname: Ritsch