Bending light in a controllable way is desired in various applications such as beam steering, navigating and cloaking. Different from the conventional way to bend light by refractive index gradient, transformation optics or special beams through wavefront design such as Airy beams and surface plasmons, we proposed a mechanism to bend light via resonant adiabatic optical transition between Floqu...

Anyons have recently received great attention due to their promising application in topological quantum computation. The best validated system that enjoys the anyonic excitations are the Laughlin states. The quasi-particles in Laughlin states are neither fermions nor bosons but possess the discrete statistical angle θ = π/m, with m being an integer. Here we report a possible realization of the ...

We discuss the relationship between modern time-dependent density-functional theory and earlier time-periodic versions, and why the criticisms in a recent Letter [Chem. Phys. Lett. 433 (2006) 204] of our earlier analysis [Chem. Phys. Lett. 359 (2002) 237] are incorrect. 2007 Elsevier B.V. All rights reserved. The idea of a formulation of density-functional theory (DFT) applied directly to Floqu...

Exploring the interaction of light with time-varying media is an intellectual challenge that, in addition to fundamental aspects, provides a pathway multiple promising applications. Time modulation constitutes here handle control on entirely different grounds. That holds particularly for complex systems simultaneously structured space and time. However, realistic description materials requires ...

The design of robust orbitally stabilizing feedback is considered. From a known controller for nominal, disturbance-free system, robustifying extension designed utilizing the sliding-mode control (SMC) methodology. main contribution paper to provide constructive procedure designing time-invariant switching function used in SMC synthesis. More specifically, its zero-level set (the sliding manifo...

This paper has two purposes. Firstly, the paper is devoted to collecting basic facts about the Floquet theorem and various Floquet factorization algorithms claimed for finite-dimensional linear continuous-time periodic (FDLCP) systems. Secondly, the paper presents a unified representation framework for various Floquet factorizations in FDLCP systems, while structural and analytic characteristic...