  Dissipative forces are ubiquitous and thus constitute an essential part of
realistic physical theories. However, quantization of dissipation has remained
an open challenge for nearly a century. We construct a quantum counterpart of
classical friction, a velocity-dependent force acting against the direction of
motion. In particular, a translationary invariant Lindblad equation is derived
satisfying the appropriate dynamical relations for the coordinate and momentum
(i.e., the Ehrenfest equations). Numerical simulations establish that the model
approximately equilibrates. These findings significantly advance a long search
for a universally valid Lindblad model of quantum friction and open
opportunities for exploring novel dissipation phenomena.
