  We report on the implementation of a time-multiplexed click detection scheme
to probe quantum correlations between different spatial optical modes. We
demonstrate that such measurement setups can uncover nonclassical correlations
in multimode light fields even if the single mode reductions are purely
classical. The nonclassical character of correlated photon pairs, generated by
a parametric down-conversion, is immediately measurable employing the theory of
click counting instead of low-intensity approximations with photoelectric
detection models. The analysis is based on second- and higher-order moments,
which are directly retrieved from the measured click statistics, for relatively
high mean photon numbers. No data postprocessing is required to demonstrate the
effects of interest with high significance, despite low efficiencies and
experimental imperfections. Our approach shows that such novel detection
schemes are a reliable and robust way to characterize quantum-correlated light
fields for practical applications in quantum communications.
