Trapped Bose atoms cooled down to temperatures below the Bose-Einstein condensation temperature are considered. Stationary solutions to the Gross-Pitaevskii equation (GPE) define the topological coherent modes, representing nongroundstate Bose-Einstein condensates. These modes can be generated by means of alternating fields whose frequencies are in resonance with the transition frequencies betw...

An ultra-compact one-dimensional topological photonic crystal (1D-TPC) is designed in a single mode silicon bus-waveguide to generate the Fano resonance lineshape. The comes from interference between discrete boundary state of 1D-TPC and continuum high-order leaky bus-waveguide. Standalone asymmetric lineshapes are obtained experimentally waveguide transmission spectrum with maximum extinction ...

Abstract. Topological indices are the numerical value associated with chemical constitution purporting for correlation of chemical structure with various physical properties, chemical reactivity or biological activity. Graph theory is a delightful playground for the exploration of proof techniques in Discrete Mathematics and its results have applications in many areas of sciences. A graph is a ...

We have theoretically and experimentally demonstrated subwavelength acoustic energy harvesting via topological interface states in 1D Helmholtz resonator arrays. The system can produce two types of bandgaps the realm due to resonance band folding mechanism, respectively. Through analyses Zak phase eigenfield distributions, properties band-folding-induced gaps be changed by tuning lattice struct...