  The investigation of fragile and potentially inhomogeneous forms of
ferromagnetic order under extreme conditions, such as low temperatures and high
pressures, is of central interest for areas such as geophysics, correlated
electron systems, as well as the optimization of materials synthesis for
applications where particular material properties are required. We report
neutron depolarization imaging measurements on the weak ferromagnet Ni$_3$Al
under pressures up to 10kbar using a Cu:Be clamp cell. Using a polychromatic
neutron beam with wavelengths $\lambda\geq$ 4\AA in combination with $^3$He
neutron spin filter cells as polarizer and analyzer we were able to track
differences of the pressure response in inhomogeneous samples by virtue of high
resolution neutron depolarization imaging. This provides spatially resolved and
non-destructive access to the pressure dependence of the magnetic properties of
inhomogeneous ferromagnetic materials.

Strongly Correlated Electrons;Materials Science