\relax 
\citation{REVTEX41Control}
\citation{apsrev41Control}
\citation{Tokura03,Dagotto05}
\citation{AnisimovBook2010}
\citation{Hofstetter_PRL02,Zoller05,Esslinger10}
\citation{Koehl05}
\citation{Bloch08_ferm}
\citation{Esslinger08_Nature}
\citation{Greif10,Santos10}
\citation{Joerdens10}
\citation{FWerner05,Wessel10,Greif10}
\bibdata{AF_double_s_v2Notes}
\bibcite{Tokura03}{{1}{}{{}}{{}}}
\bibcite{Dagotto05}{{2}{}{{}}{{}}}
\bibcite{AnisimovBook2010}{{3}{}{{}}{{}}}
\newlabel{FirstPage}{{}{1}{}{}{}}
\@writefile{toc}{\contentsline {title}{Universal probes for antiferromagnetic correlations and entropy\\ in cold fermions on optical lattices}{1}{}}
\@writefile{toc}{\contentsline {abstract}{Abstract}{1}{}}
\newlabel{eq:Hubbard}{{1}{1}{}{}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces (Color online) Hypercubic lattice ($1\le d\le 3$) at strong coupling $U/(\sqrt  {Z}t)\approx 6$: a) Double occupancy $D(T)$ as estimated from DMFT ($d=3$, circles), DQMC ($d=3$: diamonds, $d=3$: squares), and BA ($d=1$, dotted line). b) Corresponding estimates of entropy per particle $s=S/(N k_\text  {B})$. }}{1}{}}
\newlabel{fig:3d_SvsT}{{1}{1}{}{}{}}
\@writefile{toc}{\contentsline {section}{\numberline {}References}{1}{}}
\bibcite{Hofstetter_PRL02}{{4}{}{{}}{{}}}
\bibcite{Zoller05}{{5}{}{{}}{{}}}
\bibcite{Esslinger10}{{6}{}{{}}{{}}}
\bibcite{Koehl05}{{7}{}{{}}{{}}}
\bibcite{Bloch08_ferm}{{8}{}{{}}{{}}}
\bibcite{Esslinger08_Nature}{{9}{}{{}}{{}}}
\bibcite{Santos10}{{10}{}{{}}{{}}}
\bibcite{Greif10}{{11}{}{{}}{{}}}
\bibcite{Joerdens10}{{12}{}{{}}{{}}}
\bibcite{FWerner05}{{13}{}{{}}{{}}}
\bibcite{Wessel10}{{14}{}{{}}{{}}}
\bibcite{Kollath06}{{15}{}{{}}{{}}}
\bibcite{Trotzky10}{{16}{}{{}}{{}}}
\bibcite{Corcovilos10}{{17}{}{{}}{{}}}
\bibcite{fn:length}{{18}{}{{}}{{}}}
\bibcite{Takahashi77}{{19}{}{{}}{{}}}
\bibcite{Gorelik_PRL10}{{20}{}{{}}{{}}}
\bibcite{Fuchs11}{{21}{}{{}}{{}}}
\bibcite{Maier_RMP_2005}{{22}{}{{}}{{}}}
\bibcite{De_Leo_PRA_2011}{{23}{}{{}}{{}}}
\bibcite{Hirsch86}{{24}{}{{}}{{}}}
\bibcite{Blankenbecler81}{{25}{}{{}}{{}}}
\bibcite{Bluemer05}{{26}{}{{}}{{}}}
\bibcite{Bluemer07}{{27}{}{{}}{{}}}
\bibcite{BA}{{28}{}{{}}{{}}}
\bibcite{Kent05}{{29}{}{{}}{{}}}
\bibcite{Staudt00}{{30}{}{{}}{{}}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces (Color online) Hypercubic lattice at strong coupling: Double occupancy versus entropy. In all cases, the minimum of the double occupancy corresponds to $s\approx \qopname  \relax o{log}(2)$ (dotted line). The shaded area indicates the nonmagnetic contribution to $D$. Inset: $D(s)$ in $d=1$ for various interactions. }}{2}{}}
\newlabel{fig:dim_DvsS}{{2}{2}{}{}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces (Color online) Hypercubic lattice at strong coupling: a) Rescaled total and kinetic energy versus entropy. b) Spin correlations $\delimiter "426830A S_i \cdot S_{i+\delta }\delimiter "526930B $ between nearest neighbours [$\delta _{d=1}=1$, $\delta _{d=2}=(1,0)$ , $\delta _{d=3}=(1,0,0)$)] and between next-nearest neighbours [$\delta _{d=1}=2$, $\delta _{d=2}=(1,1)$, $\delta _{d=3}=(1,1,0)$]. Inset: infinite-range spin correlations. }}{2}{}}
\newlabel{fig:dim_ENNvsS}{{3}{2}{}{}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces (Color online) Cubic lattice ($d=3$): DMFT (lines) and DQMC (symbols) results for a) double occupancy $D(s)$ [thin dotted lines: extrapolations of high-$s$ asymptotics], and b) kinetic energy $E_{kin}(s)$. Inset: N\'{e}el\ entropy per particle $s_N(U)$, {\color  {red}[fn: Staudt $T_N$ + our $s(T)$]}, also indicated by thin solid lines in the main panels. }}{2}{}}
\newlabel{fig:3d_D_Ekin}{{4}{2}{}{}{}}
\bibcite{Paiva10}{{31}{}{{}}{{}}}
\bibcite{fn:supplement}{{32}{}{{}}{{}}}
\bibcite{fn:scale}{{33}{}{{}}{{}}}
\bibcite{Oitmaa94}{{34}{}{{}}{{}}}
\bibcite{Weihong91}{{35}{}{{}}{{}}}
\bibcite{Sandvik97}{{36}{}{{}}{{}}}
\bibcite{Frustration}{{37}{}{{}}{{}}}
\bibcite{Snoek_NJP08}{{38}{}{{}}{{}}}
\bibcite{Helmes_PRL08}{{39}{}{{}}{{}}}
\bibcite{Bluemer11CCP}{{40}{}{{}}{{}}}
\bibstyle{apsrev4-1}
\providecommand\NAT@force@numbers{}\NAT@force@numbers
\newlabel{LastBibItem}{{40}{3}{}{}{}}
\newlabel{LastPage}{{}{3}{}{}{}}
