  The use of a Kerr nonlinearity to generate squeezed light is a well-known way
to surpass the quantum noise limit along a given field quadrature.
Nevertheless, in the most common regime of weak nonlinearity, a single Kerr
resonator is unable to provide the proper interrelation between the field
amplitude and squeezing required to induce a sizable deviation from Poissonian
statistics. We demonstrate experimentally that weakly coupled bosonic modes
allow exploration of the interplay between squeezing and displacement, which
can give rise to strong deviations from the Poissonian statistics. In
particular, we report on the periodic bunching in a Josephson junction formed
by two coupled exciton-polariton modes. Quantum modeling traces the bunching
back to the presence of quadrature squeezing. Our results, linking the light
statistics to squeezing, are a precursor to the study of nonclassical features
in semiconductor microcavities and other weakly nonlinear bosonic systems.

Quantum Physics