Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-06-14
Computer Physics Communications 118, 115 (2011)
Physics
Condensed Matter
Quantum Gases
4 pages, 4 figures; proceedings of the Conference on Computational Physics 2009
Scientific paper
10.1016/j.cpc.2010.07.011
We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary mixture of repulsively interacting fermionic atoms harmonically trapped in an optical lattice. We explore temperature effects and establish signatures of the N\'{e}el transition in observables directly accessible in cold-atom experiments; entropy estimates are also provided. We demonstrate that the local density approximation (LDA) fails for ordered phases. In contrast, a "slab" approximation allows us to reach experimental system sizes with O(10^5) atoms without significant loss of accuracy.
Blümer Nils
Gorelik E. V.
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