Ramping fermions in optical lattices across a Feshbach resonance

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dc.creatorKatzgraber, Helmut G.
dc.creatorEsposito, Aniello
dc.creatorTroyer, Matthias
dc.date2005-10-07
dc.date2006-10-02
dc.date.accessioned2026-07-07T06:44:11Z
dc.date.available2026-07-07T06:44:11Z
dc.descriptionWe 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.
dc.description9 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0510194
dc.identifierhttp://arxiv.org/abs/cond-mat/0510194
dc.identifierPhys. Rev. A 74, 043602 (2006)
dc.identifierdoi:10.1103/PhysRevA.74.043602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102694
dc.subjectOther Condensed Matter
dc.titleRamping fermions in optical lattices across a Feshbach resonance
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