Stuttgart 2012 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 38: Quantengase: Optische Gitter 3
Q 38.8: Talk
Thursday, March 15, 2012, 12:30–12:45, V53.01
Adiabatic preparation of a Heisenberg antiferromagnet using an optical superlattice — •Michael Lubasch1, Valentin Murg2, Ulrich Schneider3, Juan Ignacio Cirac1, and Mari-Carmen Bañuls1 — 1Max Planck Institute of Quantum Optics, Hans-Kopfermann-Strasse 1, 85748 Garching, Germany — 2University of Vienna, Faculty of Physics, Boltzmanngasse 3, 1090 Vienna, Austria — 3Ludwig-Maximilians-University Munich, Faculty of Physics, Schellingstrasse 4, 80799 Munich, Germany
We present an adiabatic protocol for the realization of a Heisenberg antiferromagnet (AFM) with ultracold fermions in an optical lattice [1]. The preparation of magnetic order in such a system is a highly desirable goal, as an intermediate step towards a true quantum simulator of the fermionic Hubbard model. However, realizing the AFM currently represents a big challenge for optical lattice experiments, since a very low entropy per particle is required.
We propose to create this state adiabatically, starting from a low entropic band insulator and slowly changing the lattice depth. By numerically simulating the dynamics with Matrix Product States (MPS) in 1D and Projected Entangled Pair States (PEPS) in 2D we demonstrate the feasibility of our protocol even in the presence of experimental imperfections. We observe a highly destructive effect of holes and devise a strategy to control them via the harmonic trap. Additionally, we show that it is possible to realize magnetic order on a part of the sample in a shorter time than required for the whole system.
[1] M. Lubasch et al., Phys. Rev. Lett. 107, 165301 (2011).