  We propose a novel mechanism for designing quantum hyperbolic metamaterials
with use of semi-conductor Bragg mirrors containing periodically
arrangedquantum wells. The hyperbolic dispersion of exciton-polariton modes is
realized near the top of the first allowed photonic miniband in such structure
which leads to formation of exciton-polariton X-waves. Exciton-light coupling
provides a resonant non-linearity which leads to non-trivial topologic
solutions. We predict formation of low amplitude spatially localized
oscillatory structures: oscillons described by kink shaped solutions of the
effective Ginzburg-Landau-Higgs equation. The oscillons have direct analogies
in the gravita-tional theory. We discuss implementation of exciton-polariton
Higgs fields for the Schrodinger cat state generation.
