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26 April 2024

» arxiv » 0912.3790

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Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice
Robert Jördens ; Leticia Tarruell ; Daniel Greif ; Thomas Uehlinger ; Niels Strohmaier ; Henning Moritz ; Tilman Esslinger ; Lorenzo De Leo ; Corinna Kollath ; Antoine Georges ; Vito Scarola ; Lode Pollet ; Evgeni Burovski ; Evgeny Kozik ; Matthias Troyer ;
Date:	18 Dec 2009
Abstract:	We determine the entropy of a repulsively interacting atomic Fermi gas in an optical lattice at temperatures above the N’eel transition. This is achieved by comparing accurate measurements of the equilibrium double occupancy with theoretical calculations over a wide range of parameters. We demonstrate the applicability of both high-temperature series and dynamical mean field theory to obtain quantitative agreement with the experimental data. The reliability of the entropy determination is confirmed by a comprehensive analysis of all systematic errors. In the center of the Mott insulating cloud we obtain an entropy per atom as low as 0.77 k_B which is about twice as large as the entropy at the N’eel transition. The corresponding temperature depends on the atom number and for small fillings reaches values on the order of the tunneling energy.
Source:	arXiv, 0912.3790
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