  It is shown that lattice kinetic theory based on short-lived quasiparticles
proves very effective in simulating the complex dynamics of strongly
interacting fluids (SIF). In particular, it is pointed out that the shear
viscosity of lattice fluids is the sum of two contributions, one due to the
usual interactions between particles (collision viscosity) and the other due to
the interaction with the discrete lattice (propagation viscosity). Since the
latter is {\it negative}, the sum may turn out to be orders of magnitude
smaller than each of the two contributions separately, thus providing a
mechanism to access SIF regimes at ordinary values of the collisional
viscosity. This concept, as applied to quantum superfluids in one-dimensional
optical lattices, is shown to reproduce shear viscosities consistent with the
AdS-CFT holographic bound on the viscosity/entropy ratio. This shows that
lattice kinetic theory continues to hold for strongly coupled hydrodynamic
regimes where continuum kinetic theory may no longer be applicable.
