Dresden 2011 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 13: Poster II
A 13.6: Poster
Dienstag, 15. März 2011, 18:00–20:00, P1
Entropy role on the size of an atomic Fermi gas in an optical lattice — •M.Reza Bakhtiari1, Bernd Schmidt1, Irakli Titvinidze1, Michiel Snoek2, Ulrich Schneider3, and Walter Hofstetter1 — 1Institut für Theoretische Physik, Johann Wolfgang Goethe–Universität, 60438 Frankfurt/Main, Germany — 2Institute for Theoretical Physics, Valckenierstraat 65, 1018 XE Amsterdam, The Netherland — 3Fakultät für Physik, Ludwig-Maximilians-Universität, 80799 München, Germany
We theoretically investigate the thermodynamic properties of an inhomogeneous Fermi gas in a 3D optical lattice. We study the interplay between the strong correlation effects and the entropy of the trapped gas. Upon increasing the attractive interaction, this interplay leads to an anomalous expansion in size of the atomic cloud. We model the system by an inhomogeneous Fermi-Hubbard model and we apply a Dynamical Mean-Field Theory (DMFT) combined with a Local Density Approximation to compute the atomic density, superfluid order parameter, entropy and the atomic cloud size. Whenever applicable, we also compare DMFT findings with the result of a high-temperature expansion. Our results show a good
agreement with the experiment [1] in which the anomalous expansion of a trapped Fermi gas was observed.
[1] L. Hackermüller et al., Science 327, 1621 (2010).