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IOP Publishing, Journal of Physics A: Mathematical and Theoretical, 16(47), p. 165302

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

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$\mathcal {PT}$-symmetric optical superlattices

Journal article published in 2014 by Stefano Longhi ORCID
This paper is available in a repository.
This paper is available in a repository.

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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. ; Comment: final version, 7 figures, to appear in J.Phys. A