Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-03-31
Physics
Condensed Matter
Statistical Mechanics
To appear in Modern Encyclopedia of Mathematical Physics (MEMPhys); companion article to arXiv:0704.2194; v5 - corrected bound
Scientific paper
We discuss a force arising from zero-temperature quantum fluctuations in a weakly interacting Bose-Einstein condensate (BEC). We argue that there is a drag force on an object moving at speeds well below Landau's critical velocity, and motivate our argument by an analogy to the Casimir force in an electromagnetic vacuum. We sketch the calculation of this force for an object described by a general potential. We comment about the relevance of our results to the stability of superfluid flow, arguing that this effect is consistent with the observation of persistent currents and that this effect introduces new experimental observables. Finally, we describe a new hydryodynamic boundary condition for superfluid flow that takes into account the scattering of quantum fluctuations off a rough surface.
Pomeau Yves
Roberts Christopher D.
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