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Abstract
We study the dynamics of a mobile impurity moving in a onedimensional quantum liquid. Such an impurity induces a strong, nonlinear 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 radiationinduced 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. (C) 2011 Elsevier Inc. All rights reserved.
Original language  English 

Pages (fromto)  639670 
Number of pages  32 
Journal  Annals of Physics 
Volume  327 
Issue number  3 
DOIs  
Publication status  Published  1 Mar 2012 
Keywords
 Superfluidity
 Mobile impurity
 Bloch oscillations
 Ultracold atoms
 Nonequilibrium transport
 1d quantum liquids
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Dive into the research topics of 'Dynamics and Bloch oscillations of mobile impurities in onedimensional quantum liquids'. Together they form a unique fingerprint.Projects
 1 Finished

Advanced Fellowship  Dr DM Gangardt
Engineering & Physical Science Research Council
1/09/06 → 31/08/11
Project: Research Councils