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Dark matter may be composed of ultra-light bosons whose de Broglie wavelengthin galaxies is of order 1 kpc. The standard model for this fuzzy dark matter(FDM) is a complex scalar field that obeys the Schr\"odinger-Poisson equations.The wavelike nature of FDM leads to fluctuations in the gravitational fieldthat can pump energy into the stellar components of a galaxy. Heuristicarguments and theoretical analyses suggest that these fluctuations can bemodelled by replacing FDM with a system of quasiparticles (QPs). We test thishypothesis by comparing self-consistent simulations of a Schr\"odinger fieldwith those using a system of QPs in one spatial dimension. Simulations of pureFDM systems allow us to derive a phenomenological relation between the numberof QPs that is required to model FDM with a given de Broglie wavelength. Wealso simulate systems of FDM and stars and find that the FDM pumps energy intothe stars whether it is described by QPs or a Schr\"odinger field with the FDMadiabatically contracting and the stellar system adiabatically expanding.However, we find that QPs overestimate dynamical heating.

Fuzzy Dark Matter Dynamics and the Quasiparticle Hypothesis