Dynamic structure factor of the normal Fermi gas from the collisionless to the hydrodynamic regime

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Abstract

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 (ω~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.

Original languageEnglish
Article number033622
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume82
Issue number3
DOIs
Publication statusPublished - 29 Sep 2010

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