Ramping fermions in optical lattices across a Feshbach resonance
arXiv:cond-mat/0510194 · doi:10.1103/PhysRevA.74.043602
Abstract
We study the properties of ultracold Fermi gases in a three-dimensional optical lattice when crossing a Feshbach resonance. By using a zero-temperature formalism, we show that three-body processes are enhanced in a lattice system in comparison to the continuum case. This poses one possible explanation for the short molecule lifetimes found when decreasing the magnetic field across a Feshbach resonance. Effects of finite temperatures on the molecule formation rates are also discussed by computing the fraction of double-occupied sites. Our results show that current experiments are performed at temperatures considerably higher than expected: lower temperatures are required for fermionic systems to be used to simulate quantum Hamiltonians. In addition, by relating the double occupancy of the lattice to the temperature, we provide a means for thermometry in fermionic lattice systems, previously not accessible experimentally. The effects of ramping a filled lowest band across a Feshbach resonance when increasing the magnetic field are also discussed: fermions are lifted into higher bands due to entanglement of Bloch states, in good agreement with recent experiments.
arXiv comment9 pages, 7 figures
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- Interaction-controlled transport of an ultracold Fermi gas
- Trapping and cooling fermionic atoms into the Mott and Néel states
- Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices
- Fermions in Deep Optical Lattice under p-wave Feshbach Resonance
- Thermometry and signatures of strong correlations from Raman spectroscopy of fermionic atoms in optical lattices