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Bound states in the continuum in open quantum billiards with a variable shape

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
;  [1];  [2]
  1. Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk (Russian Federation)
  2. Max-Planck-Institut fuer Physik komplexer Systeme, D-01187 Dresden (Germany)
We show the existence of bound states in the continuum (BICs) in quantum billiards (QBs) that are opened by attaching single-channel leads to them. They may be observed by varying an external parameter continuously, e.g., the shape of the QB. At some values of the parameter, resonance states with vanishing decay width (the BICs) occur. They are localized almost completely in the interior of the closed system. The phenomenon is shown analytically to exist in the simplest case of a two level QB and is complemented by numerical calculations for a real QB.
OSTI ID:
20853262
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 23 Vol. 73; ISSN 1098-0121
Country of Publication:
United States
Language:
English

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