caa a22 4500 445366494 CHVBK 20180317142932.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10909-011-0396-3 doi (NATIONALLICENCE)springer-10.1007/s10909-011-0396-3 Antiferromagnetism of Lattice Fermions in an Optical Trap: the Dynamical Mean-Field Perspective [Elektronische Daten] [Elena Gorelik, Nils Blümer] A major current goal in experiments on ultracold fermions on optical lattices is the realization and detection of quantum magnetism, in particular of antiferromagnetic order. Numerical simulations are expected to be essential both for guidance and for the interpretation of the experimental data. We present theoretical predictions for antiferromagnetic signatures in the double occupancy, discuss the intrinsic energy scales and the role of dimensionality for magnetism, and show that the dynamical mean-field theory (DMFT) is surprisingly accurate for local observables in three and two dimensions. The local density approximation is demonstrated, by comparison with real-space DMFT, to be insufficient for ordered systems. In contrast, our slab approximation opens the way to accurate and efficient quantitative simulations of trapped anisotropic fermionic clouds of the experimentally relevant sizes. Springer Science+Business Media, LLC, 2011 Ultracold lattice fermions nationallicence Antiferromagnetic correlations nationallicence Dynamical mean-field theory nationallicence Gorelik Elena Institute of Physics, Johannes Gutenberg University, Mainz, Germany aut Blümer Nils Institute of Physics, Johannes Gutenberg University, Mainz, Germany aut Journal of Low Temperature Physics Springer US; http://www.springer-ny.com 165/5-6(2011-12-01), 195-212 0022-2291 165:5-6<195 2011 165 10909 https://doi.org/10.1007/s10909-011-0396-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10909-011-0396-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gorelik Elena Institute of Physics, Johannes Gutenberg University, Mainz, Germany aut NATIONALLICENCE 700 1- Blümer Nils Institute of Physics, Johannes Gutenberg University, Mainz, Germany aut NATIONALLICENCE 773 0- Journal of Low Temperature Physics Springer US; http://www.springer-ny.com 165/5-6(2011-12-01), 195-212 0022-2291 165:5-6<195 2011 165 10909 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer