Small-scale features in fuzzy dark matter

Fuzzy dark matter (FDM) is a physically-motivated alternative to cold dark matter, proposed to solve small-scale problems of cosmology. The FDM particle is an ultra-light boson that forms a condensate with a kpc-scale de Broglie wavelength that suppresses small-scale structure by quantum mechanical effects. In this talk we explore several aspects of FDM, such as interference waves and soliton cores. We characterize departures from classical predictions, by looking at the dynamical heating effects of quantum fluctuations, the soliton mass--halo mass relation, and cosmological box comparisons with and without quantum mechanics.