Hannover 2020 – wissenschaftliches Programm
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Q 33.5: Vortrag
Mittwoch, 11. März 2020, 15:15–15:30, e001
Simulation of topological phases and edge states via quantum walks with step-dependent coins — •Shahram Panahiyan and Stephan Fritzsche — Helmholtz-Institut Jena, Jena, Germany
We investigate simulations of topological phenomena in condense matter through two types of quantum walk (simple-step and split-step) with step-dependent coins. Here, we address two issues for simulation of topological phases and edge states via quantum walk. First, we show that quantum walk with step dependent coin simulates all types of topological phases and edge states. This also indicates the simulation of all types of topological phase transitions. Second, we show that step-dependent coins provide the step number as a controlling factor over the simulations. In fact, with tuning the step number, we can determine the occurrences of edge states/topological phases, the type of edge state/topological phases and where they should be located.