  It has long been thought that strongly correlated systems are adiabatically
connected to their noninteracting counterpart. Recent developments have
highlighted the fallacy of this traditional notion in a variety of settings.
Here we use a class of strongly correlated electron systems as a platform to
illustrate the kind of quantum phases and fluctuations that are created by
strong correlations. Examples are quantum critical states that violate the
Fermi liquid paradigm, unconventional superconductivity that goes beyond the
BCS framework, and topological semimetals induced by the Kondo interaction. We
assess the prospect of designing other exotic phases of matter, by utilizing
alternative degrees of freedom or alternative interactions, and point to the
potential of these correlated states for quantum technology.
