  Experimental processes that are sensitive to parton Wigner distributions
provide a powerful tool to advance our understanding of proton structure. In
this work, we compute gluon Wigner and Husimi distributions of protons within
the Color Glass Condensate framework, which includes a spatially dependent
McLerran-Venugopalan initial configuration and the explicit numerical solution
of the JIMWLK equations. We determine the leading anisotropy of the Wigner and
Husimi distributions as a function of the angle between impact parameter and
transverse momentum. We study experimental signatures of these angular
correlations at a proposed Electron Ion Collider by computing coherent
diffractive dijet production cross sections in e+p collisions within the same
framework. Specifically, we predict the elliptic modulation of the cross
section as a function of the relative angle between nucleon recoil and dijet
transverse momentum for a wide kinematical range. We further predict its
dependence on collision energy, which is dominated by the growth of the proton
with decreasing $x$.
