  There exist inherent mechanisms of spontaneous breaking of local mirror
symmetry (parity) in fluid turbulence. A good example is Kerr's mechanism based
on the inviscid vortex interactions. Such interactions can result in the
appearance of the local adjacent regions with strong oppositely signed
helicity, while the global (net) helicity still remains zero due to the global
mirror symmetry. It is shown, using results of direct numerical simulations and
laboratory measurements, that the spontaneous breaking of local mirror symmetry
can dominate turbulent dynamics in the superfluid helium II and in the
Bose-Einstein condensate turbulence. The notion of helical distributed chaos
has been used for this purpose.
