While periodically-driven phases offer a unique insight into non-equilibrium topology that is richer than its static counterpart, their experimental realization often hindered by ubiquitous decoherence effects. Recently, we have proposed decoherence-free approach of realizing these Floquet phases. The central the reflection matrix, being unitary for bulk insulator, plays role time-evolution ope...

We present one-dimensional local potentials with an absolute reflection at a given energy value which can be above barriers. The corresponding energy dependence of a reflection coefficient exhibits resonance behavior. The inversion technique provides the potentials with specified widths of reflection resonances, their number and positions. The multichannel systems (exact models) with a complete...

Starting from infinitely many supercompact cardinals, we force a model of ZFC where אω2+1 satisfies simultaneously a strong principle of reflection, called ∆-reflection, and a version of the square principle, denoted (אω2+1). Thus we show that אω2+1 can satisfy simultaneously a strong reflection principle and an anti-reflection principle.