I just heard a nice talk by Angel Rubio about recent advances in applying cavity effects to both chemistry and materials properties. For a recent discussion of the former, you can try here (pdf file). Similar in spirit, there is a great deal of interest in using cavity interactions to modify the ground states (or excited states) of solid materials. Resonantly altering phonons might allow tuning of superconductivity, for example. Or, you could take a material like SrTiO3, which is almost a ferroelectric, and try to stabilize ferroelectricity. Or, you could to take something that is almost a spin liquid and try to get it there by putting it in a cavity and pumping a little.
It's certainly interesting to ponder. Achieving this in practice is very challenging, because getting matter-cavity couplings to be sufficiently large is not easy. Never the less, the idea that you can take a material and potentially change something fundamental about its properties just by placing it in the right surroundings sounds almost magical. Very cool to consider.