Cold fermions with pairing interactions: new results based on fluiddynamical descriptions

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

JOURNAL OF LOW TEMPERATURE PHYSICS

SPRINGER/PLENUM PUBLISHERS

Lugar: New York; Año: 2012 vol. 166 p. 242 - 256

0022-2291

We present  a rigorous derivation of the moment hierarchy of the    density and pair density matrices of a two species fermion superfluid in coordinate representation. We discuss the   tools to truncate at any desired level and  present the derivation of the Extended Superfluid Thomas--Fermi  (ESTF) fluiddynamical scheme. In order to establish the equation of state in equilibrium to be incorporated in the truncation, we extend  the method of  Papenbrock and Bertsch.   We examine the dynamics of fluctuations in  homogeneous fermion   matter and show that it is consistent with the ordinary  Random--Phase--approximation. We  discuss some numerical results for equilibrium profiles and collective fluctuations of trapped cold gases.