  We report on local measurements of atom number fluctuations in slices of a
single 1D Bose gas with repulsive interactions. For weakly interacting gases,
the fluctuations are super-Poissonian at intermediate atomic densities and
become sub-Poissonian at high densities once the gas enters into the quantum
quasi-condensate regime. At stronger interactions, when approaching the
fermionization regime, we no longer observe super-Poissonian statistics; the
fluctuations go from Poissonian to sub-Poissonian as the density is increased,
as those in a Fermi gas.
