  We report on a peculiar propagation of bosons loaded by a short
Laguerre-Gaussian pulse in a nearly flat band of a lattice potential. Taking a
system of exciton-polaritons in a kagome lattice as an example, we show that an
initially localized condensate propagates in a specific direction in space if
anisotropy is taken into account. This propagation consists of quantum jumps,
collapses, and revivals of the whole compact states, and it persists given any
direction of anisotropy. This property reveals its signatures in the
tight-binding model and, surprisingly, it is much more pronounced in a
continuous model. Quantum revivals are robust to the repulsive interaction and
finite lifetime of the particles. Since no magnetic field or spin-orbit
interaction is required, this system provides a new kind of easily
implementable optical logic.
