Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice

Joerdens, R. and Tarruell, L. and Greif, D. and Uehlinger, T. and Strohmaier, N. and Moritz, H. and Esslinger, T. and De Leo, L. and Kollath, C. and Georges, A. and Scarola, V. and Pollet, L. and Burovski, E. and Kozik, E. and Troyer, M. (2010) Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice. Physical review letters, 104 (18). -. ISSN 0031-9007

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Abstract

We perform a quantitative simulation of the repulsive Fermi-Hubbard model using an ultracold gas trapped in an optical lattice. The entropy of the system is determined 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 0.77k(B) which is about twice as large as the entropy at the Neel transition. The corresponding temperature depends on the atom number and for small fillings reaches values on the order of the tunneling energy.

Item Type:
Journal Article
Journal or Publication Title:
Physical review letters
Additional Information:
© 2010 The American Physical Society
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
54516
Deposited By:
Deposited On:
24 May 2012 15:50
Refereed?:
Yes
Published?:
Published
Last Modified:
03 Dec 2020 01:25