Freiburg 2019 – wissenschaftliches Programm

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FM: Fall Meeting

FM 34: Topology: Solid State Systems

FM 34.4: Talk

Dienstag, 24. September 2019, 15:00–15:15, 1199

Simulation of chiral topological phases in driven quantum dot arrays — •Beatriz Perez-Gonzalez, Miguel Bello, Alvaro Gomez-Leon, and Gloria Platero — Instituto de Ciencia de Materiales de Madrid

Recent experimental evidence on scalable quantum dot devices demonstrates a reproducible and controllable 12-quantum-dot device, which opens up the possibility of simulating 1D topological insulators (TIs) upon quantum dot chains.

A canonical example of TI in 1D is the SSH model, displaying two topological phases. In this talk, we analyze the extension of this model to include long range hopping, and study how this affects the topological properties of the system. We conclude that for certain hopping configurations, one can have topological phases beyond those of the standard tight-binding Hamiltonian with first-neighbour couplings, hence allowing for the presence of more pairs of edge states.

Finally, we show that a quantum simulator for 1D topological phases, including those appearing in the extended SSH model, can be obtained by periodically driving an array of quantum dots with long-range hopping. Our driving protocol triggers topological behavior in an otherwise trivial setup, opening the door for the simulation of a wide range of Hamiltonians with a non-trivial band structure.