  Interference experiments with independent condensates provide a powerful tool
for analyzing correlation functions. Scaling of the average fringe contrast
with the system size is determined by the two-point correlation function and
can be used to study the Luttinger liquid liquid behavior in one-dimensional
systems and to observe the Kosterlitz-Thouless transition in two-dimensional
quasicondensates. Additionally, higher moments of the fringe contrast can be
used to determine the higher order correlation functions. In this article we
focus on interference experiments with one-dimensional Bose liquids and show
that methods of conformal field theory can be applied to calculate the full
quantum distribution function of the fringe contrast.
