  In this paper, we review state-of-the-art results on the collective behaviors
for Lohe type first-order aggregation models. Collective behaviors of classical
and quantum many-body systems have received lots of attention from diverse
scientific disciplines such as applied mathematics, control theory in
engineering, nonlinear dynamics of statistical physics, etc. To model such
collective dynamics, several phenomenological models were proposed in
literature and their emergent dynamics were extensively studied in recent
years. Among them, we present two Lohe type models: the Lohe tensor (LT) model
and the Schrodinger-Lohe mode}, and present several sufficient conditions in
unified frameworks via the Lyapunov functional approach for state diameters and
dynamical systems theory approach for two-point correlation functions. We also
present several numerical simulation results for the SL model.
