Coherent and incoherent structures in fuzzy dark matter haloes

ABSTRACT We show that fuzzy dark matter haloes exhibit spatial differentiation in the coherence of field configuration, ranging from completely coherent central solitonic core to incoherent outside it, with a significant drop dimensionless phase-space density increasing radius. The is pure condensate, overlapping perfectly Penrose-Onsager mode corresponding largest eigenvalue one-particle matrix. virialized outer halo exhibits no clear as whole upon radial and temporal averaging but can be described collection local, short-lived quasi-condensate lumps, exhibiting suppressed fluctuations, which identified structures commonly referred granules. These localized regions are separated by vortices form dynamical web, inhibiting phase across entire halo. further examine oscillations, finding they accurately two time-dependent parameters characterizing size core, rc(t), crossover region, rt(t). For our merger simulations, this feature reflected (anti-)correlated oscillation peak value power-spectrum. halo’s turbulent vortex tangle appears reach quasi-equilibrium state over probed time-scales, incompressible component kinetic energy characteristic k?3 tail its spectrum, indicative ? ? r2 profile around quantum cores. Comparison wavenumbers power-spectra shows inter-vortex spacing granule length scale very similar slightly above size.