Fluiddynamical description of ultracold trapped fermions

P. CAPUZZI; E. S. HERNÁNDEZ; L. SZYBISZ

Bariloche

Conferencia; 16th International Conference on Recent Progress in many-body Theories; 2011

We present numerical results of a recently developedfluiddynamical description of cold fermions with pairinginteractions. The description is based on the  moment hierarchyof the density and pair density matrices of a two-species fermionsuperfluid in coordinate representation and has been shown to beconsistent with the Random-Phase approximation at small coupling.We examine the fluctuations in harmonically trapped two-speciesatomic fermions, focusing in the density and gap fluctuations atlow energy. The results for moderate couplings are compared tothose of the standard hydrodynamics in the Thomas-Fermi regime.