Report on 2001.08217v2

Abstract

We show that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) Floquet topological insulators.We consider D-dimensional HOTIs with gapless corner states which are weakly probed by external waves in a scattering setup.We find that the unitary reflection matrix describing back-scattering from the boundary of the HOTI is topologically equivalent to a (D -1)-dimensional nontrivial Floquet operator.To characterize the topology of the reflection matrix, we introduce the concept of 'nested' scattering matrices.Our results provide a route to engineer topological Floquet systems in the lab without the need for external driving.As benefit, the topological system does not to suffer from decoherence and heating.

Authors 3

1. Selma Franca corresponding

   Leibniz Institute for Solid State and Materials Research · Complexity, Topology and Dynamics in Quantum Matter

   Affiliation as printed

   IFW Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat , Helmholtzstr. 20 , 01069 Dresden , Germany

   IFW Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat, Helmholtzstr. 20, 01069 Dresden, Germany

2. Fabian Hassler Aachen JARA-Institute for Quantum Information

   RWTH Aachen University

   Affiliation as printed

   JARA-Institute for Quantum Information , RWTH Aachen University , 52056 Aachen , Germany

   JARA-Institute for Quantum Information, RWTH Aachen University, 52056 Aachen, Germany

3. Ion Cosma Fulga

   Leibniz Institute for Solid State and Materials Research · Complexity, Topology and Dynamics in Quantum Matter

   Affiliation as printed

   IFW Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat , Helmholtzstr. 20 , 01069 Dresden , Germany

   IFW Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat, Helmholtzstr. 20, 01069 Dresden, Germany