Aharonov-Bohm detection of two-dimensional magnetostatic cloaks

Two-dimensionalmagnetostatic cloaks, evenwhen perfectly designed tomitigate the magnetic field disturbance of a scatterer, may be still detectable with Aharonov-Bohm (AB) measurements, and therefore may affect quantum interactions and experiments with elongated objects. We explore a multilayered cylindrical cloak whose permeability profile is tailored to nullify the magnetic-flux perturbation of the system, neutralizing its effect on AB measurements, and simultaneously optimally suppress the overall scattering. In this way, our improved magnetostatic cloak combines substantial mitigation of the magnetostatic scattering response with zero detectability by AB experiment

Anomalous Floquet topological phase in a lattice of LC resonators

Periodically driven systems provide a new platform for studying and realizing novel topological phases of matter that cannot be observed in static systems. These so-called anomalous Floquet topological insulators support topologically protected edge states, despite having zero Chern number bands. Here, we propose a circuit realization of an anomalous Floquet topological insulator. Based on a simple model, we designed a lattice of inductors and capacitors connected through electrical switches. We cast the governing equations of the circuit in the form of a Schrodinger-like equation and implement the Hamiltonian of an anomalous Floquet topological insulator by the circuit. Using a current source for excitation, the propagation of the topological edge state in the circuit is analyzed