Scale invariance and viscosity of a two-dimensional Fermi gas

Details Scale invariance and viscosity of a two-dimensional Fermi gas Scale invariance and viscosity of a two-dimensional Fermi gas

2011-11-04

arxiv.org/abs/1111.1173v2

Phys. Rev. Lett. 108, 070404 (2012)

Physics

Condensed Matter

Quantum Gases

Scientific paper

10.1103/PhysRevLett.108.070404

We investigate the collective excitations of a harmonically trapped two-dimensional Fermi gas from the collisionless (zero sound) to the hydrodynamic (first sound) regime. The breathing mode, which is sensitive to the equation of state, is observed at a frequency two times the dipole mode frequency for a large range of interaction strengths and temperatures, and the amplitude of the breathing mode is undamped. This provides evidence for a dynamical SO(2,1) scaling symmetry of the two-dimensional Fermi gas. Moreover, we investigate the quadrupole mode to measure the shear viscosity of the two-dimensional gas and study its temperature dependence.

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