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TT: Fachverband Tiefe Temperaturen
TT 12: Topological Insulators 2 (joint session TT/HL)
TT 12.1: Vortrag
Montag, 16. März 2020, 15:00–15:15, HSZ 103
Simulating Floquet topological phases in static systems — •Selma Franca1, Fabian Hassler2, and Ion Cosma Fulga1 — 1IFW Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat, Helmholtzstr. 20, 01069 Dresden, Germany — 2JARA-Institute for Quantum Information, RWTH Aachen University, 52056 Aachen, Germany
We show that the transport properties of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of time-periodic (Floquet) topological insulators, without the need for external driving. We consider D-dimensional HOTIs with gapless corner states, which are weakly probed by means of a transport measurement. The unitary reflection matrix describing back-scattering from the HOTI boundary is topologically equivalent to a (D−1)-dimensional nontrivial Floquet operator. To characterize the topology of the resulting unitary, we introduce the concept of "nested" scattering matrices, showing that they correctly determine its topological invariants. Our results provide a route to engineer topological unitaries in the lab, using HOTIs and measurement techniques that have already been demonstrated in experiment. Unlike previous methods used to simulate Floquet systems, the resulting phase is expected to be robust against decoherence, since it occurs in the absence of any external driving field.