  We introduce a generic framework for describing quantum active matter that
involves mimicking the role of self-propulsion through an external trapping
potential that is moving along imposed trajectories traced by classical active
dynamics. This approach in the presence of dissipation, not only recovers
essential dynamical behavior of classical activity, including the ballistic to
diffusive cross-over of its mean-square displacement, but also reveals
additional features of activity that is of pure quantum origin. These
quantum-active features are most clearly revealed in non-dissipative systems,
and manifest as novel exponents of the mean-square displacement at short time
scales, that are intricately dependent on the geometry of the trapping
potential.
