Regensburg 2013 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 14: Correlated Electrons: Low-Dimensional Systems - Models 2

TT 14.5: Vortrag

Montag, 11. März 2013, 16:00–16:15, H9

Topological phases in ultracold polar-molecule quantum magnets — •Salvatore R. Manmana^1,2, Miles E. Stoudenmire³, Kaden R.A. Hazzard², Ana Maria Rey², and Alexey V. Gorshkov⁴ — ¹Institut für Theoretische Physik, Universität Göttingen, Germany — ²JILA, University of Colorado and NIST, and Department of Physics, CU Boulder, USA — ³Department of Physics and Astronomy, University of California, Irvine, USA — ⁴Institute for Quantum Information & Matter, Caltech, Pasadena (California), USA

We show how to use polar molecules in an optical lattice to engineer quantum spin models with arbitrary spin S ≥ 1/2 and with interactions featuring a direction-dependent spin anisotropy. This is achieved by encoding the effective spin degrees of freedom in microwave-dressed rotational states of the molecules and by coupling the spins through dipolar interactions. We demonstrate how one of the experimentally most accessible anisotropies stabilizes symmetry protected topological phases in spin ladders. Using the numerically exact density matrix renormalization group method, we find that these interacting phases – previously studied only in the nearest-neighbor case – survive in the presence of long-range dipolar interactions. We also show how to use our approach to realize the bilinear-biquadratic spin-1 and the Kitaev honeycomb models. Experimental detection schemes and imperfections are discussed.