Phys Rev Lett. 2016 Sep 02;117(10):105301. doi: 10.1103/PhysRevLett.117.105301. Epub 2016 Sep 01.
Physical review letters
Aleksandra Petković, Zoran Ristivojevic
PMID: 27636481 DOI: 10.1103/PhysRevLett.117.105301
We develop a microscopic theory of a quantum impurity propagating in a one-dimensional Bose liquid. As a result of scattering off thermally excited quasiparticles, the impurity experiences the friction. We find that, at low temperatures, the resulting force scales either as the fourth or the eighth power of temperature, depending on the system parameters. For temperatures higher than the chemical potential of the Bose liquid, the friction force is a linear function of temperature. Our approach enables us to find the friction force in the crossover region between the two limiting cases. In the integrable case, corresponding to the Yang-Gaudin model, the impurity becomes transparent for quasiparticles and thus the friction force is absent. Our results could be further generalized to study other kinetic phenomena.
