Spectral singularities and Bragg scattering in complex crystals

Details Spectral singularities and Bragg scattering in complex crystals Spectral singularities and Bragg scattering in complex crystals

2010-01-06

arxiv.org/abs/1001.0962v1

Physics

Quantum Physics

6 pages, 5 figures, to be published in Phys. Rev. A

Scientific paper

Spectral singularities that spoil the completeness of Bloch-Floquet states may occur in non-Hermitian Hamiltonians with complex periodic potentials. Here an equivalence is established between spectral singularities in complex crystals and secularities that arise in Bragg diffraction patterns. Signatures of spectral singularities in a scattering process with wave packets are elucidated for a PT-symmetric complex crystal.

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