  We show that a `weak' elliptical deformation of an atomic Bose-Einstein
condensate rotating at close to the quadrupole instability frequency leads to
turbulence with a Kolmogorov energy spectrum. The turbulent state is produced
by energy transfer to condensate fragments that are ejected by the quadrupole
instability. This energy transfer is driven by breaking the two-fold rotational
symmetry of the condensate. Subsequently, vortex-sound interactions damp the
turbulent state leading to the crystalization of a vortex lattice.

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