REFEREES: 
theory:
Dr. Krzysztof Byczuk (Warsaw University) Krzysztof.Byczuk@physik.uni-augsburg.de
Dr. Theo Costi (IFF, Juelich) T.Costi@fz-juelich.de
Prof. Eugene Demler (Harvard University) Demler@physics.harvard.edu
Prof. James Freericks (Georgetown University) freericks@physics.georgetown.edu
Prof. Antoines Georges (Ecole Polytechnique) Antoine.Georges@cpht.polytechnique.fr
Prof. Stefan Kehrein (LMU, Munich) Stefan.Kehrein@physik.lmu.de
Dr. Andreas Laeuchli (MPI PKS, Dresden) aml@pks.mpg.de
Prof. Alejandro Muramatsu (Stuttgart University) mu@theo3.physik.uni-stuttgart.de
Prof. Achim Rosch (University of Cologne) rosch@thp.uni-koeln.de
Prof. Jesko Sirker (University of Kaiserslautern) jsirker@physik.uni-kl.de

experiment:
Prof. Immanuel Bloch (MPQ, Munich) immanuel.bloch@mpq.mpg.de
Prof. Tilman Esslinger (ETH Zuerich) esslinger@phys.ethz.ch
Prof. Markus Greiner (Harvard University) greiner@physics.harvard.edu
Prof. Henning Moritz (University of Hamburg) Henning.Moritz@physik.uni-hamburg.de
Prof. Herwig Ott (University of Kaiserslautern) ott@physik.uni-kl.de
Dr. Ulrich Schneider (MPQ, Munich) ulrich.schneider@physik.uni-muenchen.de
Prof. Klaus Sengstock (University of Hamburg) sengstock@physnet.uni-hamburg.de
Prof. Martin Zwierlein (Massachusetts Institute of Technology) ZWIERLEIN@MIT.EDU


NOTES: 
The search for quantum magnetism is one of the hottest topics in cold lattice fermions experiments. Both the cooling issues and difficulties to measure the order parameter directly make it especially important to look for less obvious/conventional signatures of antiferromagnetism, and to identify temperature/entropy range where these signatures should be accessible in experiment. In this work, we demonstrate that double occupancy serves as a universal probe for AF correlations and entropy. Moreover, independent on the dimensionality, the minimum in double occupancy as a function of entropy per particle occurs at s=log(2) at strong coupling. We argue that long-range order is hardly relevant for the current search of AF signatures in cold fermions, in contrary to the local AF effects. The latter should be observable well above s<log(2)/2, moreover and rather counterintuitive, they are larger in lower dimensions. This is clearly important and interesting for a broad audience.

