Eztended fluid-dynamics and collective motion of two trapped fermion species with pairing interactions

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

JOURNAL OF LOW TEMPERATURE PHYSICS

SPRINGER/PLENUM PUBLISHERS

Año: 2011 vol. 162 p. 274 - 280

0022-2291

We extend our earlier fluid--dynamical description of fermionsuperfluids  incorporating the particle energy flow together with theequation of motion for the internal kinetic energy of the pairs. Theformal scheme combines a set of equations similar to those ofclassical hydrodynamics with the equations of motion for theanomalous density and for its related momentum density and kinetic energy density. This dynamical frame represents a second ordertruncation of an infinite hierarchy of equations of motion isomorphicto the full time dependent Hartree--Fock--Bogoliubov equations incoordinate representation. We analyze the equilibrium solutions andfluctuations for a homogeneous, unpolarized fermion system of twospecies, and show that the collective spectrum presents thewell--known Anderson--Bogoliubov low energy mode of homogeneous superfluids and  a pairing vibration  near the gap energy.