Van Hove bound states in the continuum: Localised subradiant states in finite open lattices

Abstract

We show that finite lattices with arbitrary boundaries may support large degenerate subspaces, stemming from the underlying translational symmetry of the lattice. When the lattice is coupled to an environment, a potentially large number of these states remains weakly or perfectly uncoupled from the environment, realising a new kind of bound states in the continuum. These states are strongly localized along particular directions of the lattice which, in the limit of strong coupling to the environment, leads to spatially-localized subradiant states.

7 pages, 4 figures. Minor changes, matches published version

References in corpus (7)

• Anderson Transitions
• Observation of bound states in Lieb photonic lattices
• Storing light with subradiant correlations in arrays of atoms
• Chiral Flat Bands: Existence, Engineering and Stability
• A generalization of Bloch's theorem for arbitrary boundary conditions: Theory
• Photonic crystals to enhance light extraction from 2D materials
• Chiral bound states in the continuum

Cited by in corpus (2)

• Stationary State Degeneracy of Open Quantum Systems with Non-Abelian Symmetries
• Bound states in the continuum are universal under the effect of minimal length