  Holographic quantum matter exhibits an intriguing connection between quantum
black holes and more conventional (albeit strongly interacting) quantum
many-body systems. This connection is manifested in the study of their
thermodynamics,statistical mechanics and many-body quantum chaos. After
explaining some of those connections and their significance, we focus on the
most promising example to date of holographic quantum matter, the family of
Sachdev-Ye-Kitaev (SYK) models. Those are simple quantum mechanical models that
are thought to realize, holographically, quantum black holes. We review and
assess various proposals for experimental realizations of the SYK models. Such
experimental realization offers the exciting prospect of accessing black hole
physics, and thus addressing many mysterious questions in quantum gravity, in
tabletop experiments.
