“…Here, we will demonstrate that a rocked, inertial Brownian motor degree of freedom, if put to work against a load, can exhibit negative differential mobility. This striking phenomenon has been observed within a quantum mechanical setting for electron transfer phenomena [29] or for ac-dc-driven tunnelling transport [30], in the dynamics of cooperative Brownian motors [31,32,33], Brownian transport with complex topology (entropic ratchets) [34,35,36,37,38,39] and in some stylized, multistate models with state-dependent noise [40,41], to name but a few. Furthermore, we also investigate the efficiency for this forced Brownian inertial transport; in this case, it is possible to devise and to compare several qualifiers characterizing the efficiency of energy conversion and of rectification.…”