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Antiferromagnetism of Lattice Fermions in an Optical Trap: the Dynamical Mean-Field Perspective

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Abstract

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.

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Authors and Affiliations

  1. Institute of Physics, Johannes Gutenberg University, Mainz, Germany

    Elena V. Gorelik & Nils Blümer

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  1. Elena V. Gorelik
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  2. Nils Blümer
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Correspondence to Elena V. Gorelik.

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Gorelik, E.V., Blümer, N. Antiferromagnetism of Lattice Fermions in an Optical Trap: the Dynamical Mean-Field Perspective. J Low Temp Phys 165, 195–212 (2011). https://doi.org/10.1007/s10909-011-0396-3

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  • DOI: https://doi.org/10.1007/s10909-011-0396-3

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