  Microcavity exciton-polaritons are quantum quasi-particles arising from the
strong light-matter coupling. They have exhibited rich quantum dynamics rooted
from bosonic nature and inherent non-equilibrium condition. Dynamical
condensation in microcavity exciton-polaritons has been observed at much
elevated temperatures in comparison to ultrocold atom condensates. Recently, we
have investigated the behavior of exciton-polariton condensates in artificial
trap and lattice geometries in zero-dimension, one-dimension (1D) and
two-dimension (2D). Coherent $\pi$-state with p-wave order in a 1D condensate
array and d-orbital state in a 2D square lattice are observed. We anticipate
that the preparation of high-orbital condensates can be further extended to
probe dynamical quantum phase transition in a controlled manner as quantum
emulation applications.
