  We study the final stages of the evolution of a binary system consisted of a
black hole and a white dwarf star. We implement the quantum hydrodynamic
equations and carry out numerical simulations. As a model of a white dwarf
star, we consider a zero temperature droplet of attractively interacting
degenerate atomic bosons and spin-polarized atomic fermions. Such mixtures are
investigated experimentally nowadays. We find that the white dwarf star is
stripped off its mass while passing the periastron. Due to nonlinear effects,
the accretion disk originated from the white dwarf becomes fragmented and the
onset of a quantum turbulence with giant quantized vortices present in the
bosonic component of the accretion disk is observed. The binary system ends its
life in a spectacular way, revealing quantum features underlying the white
dwarf star's structure. We find a charged mass, falling onto a black hole,
could be responsible for recently discovered ultraluminous X-ray bursts. The
simulations show that the final passage of a white dwarf near a black hole can
cause a gamma-ray burst.
