Critical states embedded in the continuum. (English) Zbl 1455.81027
Summary: We introduce a class of critical states which are embedded in the continuum (CSC) of a one-dimensional optical waveguide array with one non-Hermitian defect. These states are on the verge of being fractal and have real propagation constants. They emerge at a phase transition which is driven by the imaginary refractive index of the defective waveguide and it is accompanied by a mode segregation which reveals analogies with the Dicke super-radiance. Below this point the states are extended while above it they evolve to exponentially localized modes. An addition of a background gain or loss can turn these localized states into bound states in the continuum.
MSC:
| 81Q37 | Quantum dots, waveguides, ratchets, etc. |
| 82D77 | Quantum waveguides, quantum wires |
| 81V80 | Quantum optics |
| 78A50 | Antennas, waveguides in optics and electromagnetic theory |
Keywords:
analogies with Dicke super-radianceReferences:
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