Equation of state and effective mass of the unitary Fermi gas in a one-dimensional periodic potential

Year: 2008

Authors: Watanabe G., Orso G., Dalfovo F., Pitaevskii L., Stringari S.

Autors Affiliation: Univ Trent, CNR, INFM, BEC, I-38050 Trento, Italy; Univ Trent, Dept Phys, I-38050 Trento, Italy; RIKEN, Inst Chem & Phys Res, Wako, Saitama 3510198, Japan; Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France; PL Kapitza Phys Problems Inst, Moscow 119334, Russia

Abstract: 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.

Journal/Review: PHYSICAL REVIEW A

Volume: 78 (6)      Pages from: 063619  to: 063619

More Information: We thank M. Antezza, G. Bruun, E. Furlan, S. Giorgini, Y. Ohashi, and M. Urban for fruitful discussions. G. O. is supported by the European Union under Contract No. EDUG-038970. This work has been supported by MIUR and by Fermix-Euroquam.
KeyWords: Bose-Einstein condensation; fermion systems; optical lattices; oscillations; superfluidity
DOI: 10.1103/PhysRevA.78.063619

Citations: 20
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