Dynamic Structure Factor of Normal Fermi Gas from Collisionless to Hydrodynamic Regime

Details Dynamic Structure Factor of Normal Fermi Gas from Collisionless to Hydrodynamic Regime Dynamic Structure Factor of Normal Fermi Gas from Collisionless to Hydrodynamic Regime

2010-06-29

arxiv.org/abs/1006.5540v2

Phys. Rev. A 82, 033622 (2010)

Physics

Condensed Matter

Quantum Gases

19 pages, 9 figures

Scientific paper

10.1103/PhysRevA.82.033622

The dynamic structure factor of a normal Fermi gas is investigated by using the moment method for the Boltzmann equation. We determine the spectral function at finite temperatures over the full range of crossover from the collisionless regime to the hydrodynamic regime. We find that the Brillouin peak in the dynamic structure factor exhibits a smooth crossover from zero to first sound as functions of temperature and interaction strength. The dynamic structure factor obtained using the moment method also exhibits a definite Rayleigh peak ($/omega /sim 0$), which is a characteristic of the hydrodynamic regime. We compare the dynamic structure factor obtained by the moment method with that obtained from the hydrodynamic equations.

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