| In this thesis, the combined effects of quantum statistics, resonant dipole-dipole atomic interactions and reabsorption of radiation on the rate and angular distribution of spontaneous emission as well as polarization decay in a Fermi sea is investigated. The temporal cross over behavior in the angular distribution of emission is illustrated in which the characteristic signatures of Fermi statistics are qualitatively changed by reabsorption within the gas. In a trapped Fermi gas mixture of two hyperfine states, the decay of an induced polarization, through radiative emission, produces an intensity distribution sensitive to the Bardeen-Cooper-Schrieffer anomalous pairing correlations. The dielectric properties of a dilute Bose gas is also examined. In particular, the transmission of a squeezed light by a harmonically trapped inhomogenous Bose gas near Bose-Einstein condensation is studied. The spectrum of homodyne photocurrent fluctuations is computed and is shown to be significantly different from a classical gas of the same density, reflecting the influence of Bose atom bunching on the dielectric function. |
