  We propose and analyse a pumped Bose-Hubbard dimer as a source of
continuous-variable Einstein-Podolsky-Rosen (EPR) steering with non-Gaussian
statistics. We use the truncated Wigner representation to calculate third and
fourth order cumulants, finding clear signals of non-Gaussianity. We also
calculate the products of inferred quadrature variances which indicate that
states demonstrating the EPR paradox are present. Our proposed experimental
configuration is extrapolated from current experimental techniques and adds
another possibility to the current toolbox of quantum atom optics.
