  We study a single impurity driven by a constant force through a 1D Bose gas
using a Lieb-Liniger based approach. Our calculaton is exact in the interaction
amongst the particles in the Bose gas, and is perturbative in the interaction
between the gas and the impurity. In contrast to previous studies of this
problem, we are able to handle arbitrary interaction strength for the Bose gas.
We find very good agreement with recent experiments [Phys. Rev. Lett. 103,
150601 (2009)].
