PT-symmetric optical superlattices

Abstract

The spectral and localization properties of $\mathcal{P}\mathcal{T}$-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 ($\mathcal{P}\mathcal{T}$-symmetric) extension of the Harper Hamiltonian in the rational case.

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

References in corpus (13)

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• Visualization of Branch Points in PT-Symmetric Waveguides
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• Tridiagonal PT-symmetric N by N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime
• Conditional observability

Cited by in corpus (2)

• Topological phase transition in non-Hermitian quasicrystals
• Dynamics of mode entanglement in a system of cavities coupled with a chiral mirror