Soliton Random Walk and the Cluster-Stripping Problem in Ultralight Dark Matter

Simulations of ultralight, similar to 10(-22) eV, bosonic dark matter exhibit rich wavelike structure, including a soliton core within a surrounding halo that continuously self-interferes on the de Broglie scale. We show here that as an inherent consequence, the soliton undergoes a confined random walk at the base of the halo potential. This is significant for the fate of the ancient central star cluster in Eridanus II, as the agitated soliton gravitationally shakes the star cluster in and out of the soliton on a timescale of similar to 100 Myr, so complete tidal disruption of the star cluster can occur within similar to 1 Gyr. This destructive effect can be mitigated by tidal stripping of the halo of Eridanus II, thereby reducing the agitation, depending on its orbit around the Milky Way. Our simulations show the Milky Way tide affects the halo much more than the soliton, so the star cluster in Eridanus II can survive for over 5 Gyr within the soliton if it formed after significant halo stripping.