6533b853fe1ef96bd12acde7
RESEARCH PRODUCT
Quantum Monte Carlo simulations of antiferromagnetism in ultracold fermions on optical lattices within real-space dynamical mean-field theory
N. BlümerE. V. Goreliksubject
PhysicsCondensed Matter::Quantum GasesOptical latticeQuantum Monte CarloGeneral Physics and AstronomyBinary numberFOS: Physical sciencesObservableFermionComputational Physics (physics.comp-ph)Hardware and ArchitectureQuantum Gases (cond-mat.quant-gas)Quantum mechanicsLattice (order)AntiferromagnetismLocal-density approximationCondensed Matter - Quantum GasesPhysics - Computational Physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-06-14 |