Gentaro Watanabe 1, 2, Giuliano Orso 3, Franco Dalfovo 4, Lev P. Pitaevskii 5, 6, Sandro Stringari 7
Physical Review A: Atomic, Molecular and Optical Physics 78 (2008) 063619
By solving the Bogoliubov — de Gennes equations at zero temperature, we study the effects of a one-dimensional optical lattice on the behavior of a superfluid Fermi gas at unitarity. We show that, due to the lattice, at low densities the gas becomes highly compressible and the effective mass is large, with a consequent significant reduction of the sound velocity. We discuss the role played by the lattice in the formation of molecules and the emergence of two-dimensional effects in the equation of state. Predictions for the density profiles and for the frequency of the collective oscillations in the presence of harmonic trapping are also given.
- 1. CNR INFM-BEC and Departement of physics,
University of Trento - 2. RIKEN The Insititute of Chemical and Physical Research,
RIKEN the insititute of chemical and physical research - 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
CNRS : UMR8626 – Université Paris XI – Paris Sud - 4. CNR INFM BEC and Departement of physics,
University of Trento - 5. Kapitza Institute for Physical Problems,
Kapitza Institute for Physical Problems - 6. CNR INFM BEC and Departement of Physics,
University of Trento - 7. CNR-INFM BEC Center,
Universita di Trento