Dynamic structure factor and drag force in a one-dimensional strongly interacting Bose gas at finite temperature

摘要

We study the effect of thermal and quantum fluctuations on the dynamical response of a one-dimensional, strongly interacting Bose gas in a tight atomic waveguide. We combine the Luttinger liquid theory at arbitrary interactions and the exact Bose-Fermi mapping in the Tonks-Girardeau impenetrable-boson limit to obtain the dynamic structure factor of the strongly interacting fluid at finite temperature. Then we determine the drag force felt by a potential barrier moving along the fluid in the experimentally realistic situation of finite barrier width and temperature.