The era of precision cosmology allows us to test the composition of the dark
matter. Mixed ultralight or fuzzy dark matter (FDM) is a cosmological model
with dark matter composed of a combination of particles of mass m≤10−20eV, with an astrophysical de Broglie wavelength, and
particles with a negligible wavelength sharing the properties of cold dark
matter (CDM). In this work, we simulate cosmological volumes with a dark matter
wave function for the ultralight component coupled gravitationally to CDM
particles. We investigate the impact of a mixture of CDM and FDM in various
proportions (0%,1%,10%,50%,100%) and for ultralight particle
masses ranging over five orders of magnitude (2.5×10−25eV−2.5×10−21eV). To track the evolution
of density perturbations in the non-linear regime, we adapt the simulation code
AxioNyx to solve the CDM dynamics coupled to a FDM wave function obeying the
Schr\"odinger-Poisson equations. We obtain the non-linear power spectrum and
study the impact of the wave effects on the growth of structure on different
scales. We confirm that the steady-state solution of the Schr\"odinger-Poisson
system holds at the center of halos in the presence of a CDM component when it
composes 50% or less of the dark matter but find no stable density core when
the FDM accounts for 10% or less of the dark matter. We implement a modified
friends-of-friends halo finder and find good agreement between the observed
halo abundance and the predictions from the adapted halo model axionHMCode.Comment: Added reference