Driven impurity in an ultracold one-dimensional Bose gas with intermediate interaction strength

We study a single impurity driven by a constant force through a one-dimensional Bose gas using a Lieb-Liniger based approach. Our calculation is exact in the interaction among 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 [Palzer et al., Phys. Rev. Lett. 103, 150601 (2009)].