Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-05-30
Annals of Physics 327 (2012), pp. 639-670
Physics
Condensed Matter
Quantum Gases
28 pages, 10 figures
Scientific paper
10.1016/j.aop.2011.10.001
We study dynamics of a mobile impurity moving in a one-dimensional quantum liquid. Such an impurity induces a strong non-linear depletion of the liquid around it. The dispersion relation of the combined object, called depleton, is a periodic function of its momentum with the period 2\pi n, where n is the mean density of the liquid. In the adiabatic approximation a constant external force acting on the impurity leads to the Bloch oscillations of the impurity around a fixed position. Dynamically such oscillations are accompanied by the radiation of energy in the form of phonons. The ensuing energy loss results in the uniform drift of the oscillation center. We derive exact results for the radiation-induced mobility as well as the thermal friction force in terms of the equilibrium dispersion relation of the dressed impurity (depleton). These results show that there is a wide range of external forces where the (drifted) Bloch oscillations exist and may be observed experimentally.
Gangardt Dimitri
Kamenev A. A.
Schecter Michael
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