  We consider the dynamics of small tracer particles in turbulent quantum
liquids. The complicated interaction processes of vortex filaments, the quantum
constraints on vorticity and the varying influence of both the superfluid and
the normal fluid on the tracer particle effectively lead to a superstatistical
Langevin-like model that in a certain approximation can be solved analytically.
An analytic expression for the PDF of velocity v of the tracer particle is
derived that exhibits not only the experimentally observed $v^-3$ tails but
also the correct behavior near the center of the distribution, in excellent
agreement with experimental measurements and numerical simulations. Our results
are universal and do not depend on details of the quantum fluid.
