Umklapp collisions and center of mass oscillation of a trapped Fermi gas

Abstract

Starting from the the Boltzmann equation, we study the center of mass oscillation of a harmonically trapped normal Fermi gas in the presence of a one-dimensional periodic potential. We show that for values of the the Fermi energy above the first Bloch band the center of mass motion is strongly damped in the collisional regime due to umklapp processes. This should be contrasted with the behaviour of a superfluid where one instead expects the occurrence of persistent Josephson-like oscillations.

arXiv comment11 pages, 3 figures, corrected typos

References in corpus (3)

• Josephson Junction Arrays with Bose-Einstein Condensates
• Expansion of a coherent array of Bose-Einstein condensates
• Collisionally Induced Transport in Periodic Potentials

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• Extracting the condensate density from projection experiments with Fermi gases
• Superfluid Fermi gas in a 1D optical lattice
• Emergence of superfluid transport in a dynamical system of ultracold atoms
• Dressed-molecules in resonantly-interacting ultracold atomic Fermi gases
• Fermionic trimers in spin-dependent optical lattices
• Critical currents in the BEC/BCS crossover regime
• Bogoliubov spectrum of a cigar shaped Fermi superfluid in an optical lattice at the BEC-BCS crossover
• Boltzmann equation with double-well potentials