  We study how supermassive blackhole accretion affects the mass density
profile of a fuzzy dark matter soliton core at the centre of a dark matter
halo. The supermassive blackhole at the center of a galaxy was regarded as a
point mass. The Schr\"{o}dinger-Newton equation for the scalar field was solved
numerically. We find that the time-dependent perturbation has a significant
squeezing effect on the soliton density profile, which both reduces the size of
the core and increases the central density.
