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

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Cited by in corpus (9)

• Topological phase transition in non-Hermitian quasicrystals
• Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
• Metal-insulator phase transition in a non-Hermitian Aubry-André-Harper Model
• Boundary-dependent Self-dualities, Winding Numbers and Asymmetrical Localization in non-Hermitian Quasicrystals
• Engineering Dissipative Quasicrystals
• Topological cascade laser for frequency comb generation in $\mathcal{P}\mathcal{T}$-symmetric structures
• Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
• Parity-time symmetry under magnetic flux
• Dynamics of mode entanglement in a system of cavities coupled with a chiral mirror