Scaling Flows and Dissipation in the Dilute Fermi Gas at Unitarity

Details Scaling Flows and Dissipation in the Dilute Fermi Gas at Unitarity Scaling Flows and Dissipation in the Dilute Fermi Gas at Unitarity

2009-12-21

arxiv.org/abs/0912.4236v3

Physics

Condensed Matter

Quantum Gases

32 pages, prepared for "BCS-BEC crossoverand the Unitary Fermi Gas", Lecture Notes in Physics, W. Zwerger (editor), Fig. 5 cor

Scientific paper

We describe recent attempts to extract the shear viscosity of the dilute Fermi gas at unitarity from experiments involving scaling flows. A scaling flow is a solution of the hydrodynamic equations that preserves the shape of the density distribution. The scaling flows that have been explored in the laboratory are the transverse expansion from a deformed trap ("elliptic flow"), the expansion from a rotating trap, and collective oscillations. We discuss advantages and disadvantages of the different experiments, and point to improvements of the theoretical analysis that are needed in order to achieve definitive results. A conservative bound based on the current data is that the minimum of the shear viscosity to entropy density ration is that eta/s is less or equal to 0.5 hbar/k_B.

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