Accidental bound states in the continuum in an open Sinai billiard

The fundamental mechanism of the bound states in the continuum is the full destructive interference of two resonances when two eigenlevels of the closed system are crossing. There is, however, a wide class of quantum chaotic systems which display only avoided crossings of eigenlevels. As an example...

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Bibliographic Details
Published in:Physics letters. A 2017-02, Vol.381 (7), p.720-724
Main Authors: Pilipchuk, A.S., Sadreev, A.F.
Format: Article
Language:English
Subjects:
Bound states in the continuum
Open chaotic Sinai billiard
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Summary:The fundamental mechanism of the bound states in the continuum is the full destructive interference of two resonances when two eigenlevels of the closed system are crossing. There is, however, a wide class of quantum chaotic systems which display only avoided crossings of eigenlevels. As an example of such a system we consider the Sinai billiard coupled with two semi-infinite waveguides. We show that notwithstanding the absence of degeneracy bound states in the continuum occur due to accidental decoupling of the eigenstates of the billiard from the waveguides. •Bound states in the continuum in open chaotic billiards occur to accidental vanishing of coupling of eigenstate of billiard with waveguides.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2016.11.022