Hydrodynamic Modes in a Trapped Strongly Interacting Fermi Gases of Atoms

TL;DR

This paper develops semi-analytical formulas for collective oscillation frequencies of a strongly interacting Fermi gas in a trap, using a variational approach within hydrodynamic theory, showing high accuracy in predictions.

Contribution

It introduces a generalized variational Schwinger method to accurately approximate collective mode frequencies in trapped Fermi gases across the BCS-BEC crossover.

Findings

Nearly exact solutions for collective mode frequencies

Effective semi-analytical formulas for radial and axial breathing modes

Validation of the variational method's accuracy

Abstract

The zero-temperature properties of a dilute two-component Fermi gas in the BCS-BEC crossover are investigated. On the basis of a generalization of the variational Schwinger method, we construct approximate semi-analytical formulae for collective frequencies of the radial and the axial breathing modes of the Fermi gas under harmonic confinement in the framework of the hydrodynamic theory. It is shown that the method gives nearly exact solutions.