PT-symmetric optical superlattices

Stefano Longhi

doi:10.1088/1751-8113/47/16/165302

PT-symmetric optical superlattices

Quantum Physics 2015-06-18 v2 Mesoscale and Nanoscale Physics

Authors: Stefano Longhi

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Abstract

The spectral and localization properties of $\mathcal{PT}$ -symmetric optical superlattices, either infinitely extended or truncated at one side, are theoretically investigated, and the criteria that ensure a real energy spectrum are derived. The analysis is applied to the case of superlattices describing a complex ( $\mathcal{PT}$ -symmetric) extension of the Harper Hamiltonian in the rational case.

Keywords

pt-symmetry non-hermitian quantum mechanics eigenvalue spectra

Cite

@article{arxiv.1402.3165,
  title  = {PT-symmetric optical superlattices},
  author = {Stefano Longhi},
  journal= {arXiv preprint arXiv:1402.3165},
  year   = {2015}
}