S. Longhi
Published 2010-01-06Version 1
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.
Comments: 6 pages, 5 figures, to be published in Phys. Rev. A
Journal: Phys. Rev. A 81, 022102 (2010)
Perturbative Analysis of Spectral Singularities and Their Optical Realizations
Complex Periodic Potentials with a Finite Number of Band Gaps
Time behaviour near to spectral singularities
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