Spectral singularities and Bragg scattering in complex crystals
Quantum Physics
2015-05-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1001.0962,
title = {Spectral singularities and Bragg scattering in complex crystals},
author = {S. Longhi},
journal= {arXiv preprint arXiv:1001.0962},
year = {2015}
}
Comments
6 pages, 5 figures, to be published in Phys. Rev. A