[Aspuru-Guzik Group List] June 2, 2016 - Special Seminar: Gregor Jotzu, ETH Zurich
by Ploucha, Clare Dolores
Hello,
Below find notice of a talk that will be held tomorrow that may be of interest:
Thursday, June 2, 2016
1:00 PM, Lyman 425 (Harvard)
Gregor Jotzu, ETH Zürich (Esslinger group)
"Floquet-engineering topological and spin-dependent bands with ultracold fermions"
Periodically driven quantum systems, when observed on time-scales longer than one modulation period, can be described by effective Floquet Hamiltonians that show qualitatively new features. Using a magnetic field gradient, we apply an oscillating force to ultracold fermions in an optical lattice. The resulting effective energy bands then become spin dependent, allowing for a tunable ratio of the effective mass (including negative values) for each internal state, which can be observed directly. The regime where one spin experiences a flat band and is completely localized whilst the other remains itinerant also becomes accessible.
In a honeycomb lattice, circular modulation of the entire lattice potential leads to the appearance of complex next-nearest neighbour tunnelling. This corresponds to a staggered magnetic flux in the lattice, allowing for the realisation of Haldane's model of a topological Chern insulator. The transition between trivial and topologically non-trivial insulating regimes manifests as a gapless spectrum. By simultaneously breaking time-reversal symmetry and the inversion symmetry of the lattice, the transition can be mapped out using Bloch-Zener oscillations. Furthermore, the non-zero overall Berry curvature leads to perpendicular drifts of an accelerated atomic cloud.
A crucial question for the extension of Floquet-engineering to interacting systems is whether periodic modulation creates excessive heating in the system. We identify regimes where this heating is minimal which paves the way for studying the interplay of topology and interactions or exotic spin-models. Local spin correlations, which we can measure directly, may give new insights on the nature of the arising phases.
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Clare Ploucha
Faculty Assistant to Professors Lukin & Greiner and their labs
Department of Physics
17 Oxford St., Lyman 324A
Cambridge, MA 02138
P. (617) 496-2544