Rights statement: © 2010 The American Physical Society
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice
AU - Joerdens, R.
AU - Tarruell, L.
AU - Greif, D.
AU - Uehlinger, T.
AU - Strohmaier, N.
AU - Moritz, H.
AU - Esslinger, T.
AU - De Leo, L.
AU - Kollath, C.
AU - Georges, A.
AU - Scarola, V.
AU - Pollet, L.
AU - Burovski, E.
AU - Kozik, E.
AU - Troyer, M.
N1 - © 2010 The American Physical Society
PY - 2010/5/7
Y1 - 2010/5/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=77952020787&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.104.180401
DO - 10.1103/PhysRevLett.104.180401
M3 - Journal article
VL - 104
SP - -
JO - Physical review letters
JF - Physical review letters
SN - 0031-9007
IS - 18
M1 - 180401
ER -