Bound states in the continuum (BIC) accompanied by avoided crossings in leaky-mode photonic lattices

Anisotropy-Induced Photonic Bound States in the Continuum

Measurement of bound states in the continuum by a detector embedded in a photonic crystal

We directly measure optical bound states in the continuum (BICs) by embedding a photodetector into a photonic crystal slab. The BICs observed in our experiment are the result of accidental phase matching between incident, reflected and in-plane waves at seemingly random wave vectors in the photonic band structure. Our measurements were confirmed through a rigorously coupled-wave analysis simula...

Avoided Crossings in Driven Systems

We characterize the avoided crossings in a two-parameter, time-periodic system which has been the basis for a wide variety of experiments. By studying these avoided crossings in the near-integrable regime, we are able to determine scaling laws for the dependence of their characteristic features on the non-integrability parameter. As an application of these results, the influence of avoided cros...

Detection of avoided crossings by fidelity

The overlap of eigenstates of two slightly different Hamiltonians, vulgo fidelity, is proposed as an efficient detector of avoided crossings in the energy spectrum. This new application of fidelity is motivated for small model systems and its value for characterising complex quantum spectra is underlined by spectral analyses of many-body Bose–Hubbard systems. Introduction – The enormous progres...

1 Bound States in the Continuum

Bound states in the continuum are waves that, defying conventional wisdom, remain localized even though they coexist with a continuous spectrum of radiating waves that can carry energy away. Their existence was first proposed in quantum mechanics and, being a general wave phenomenon, later identified in electromagnetic, acoustic, and water waves. They have been studied in a wide variety of mate...