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.

arXiv comment7 pages, 4 figures. Minor changes, matches published version

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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