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Asymmetric perfect absorption and lasing of nonlinear waves by a complex -potential
Dmitry A. Zezyulin, Vladimir V. Konotop
Spectral singularities and the coherent perfect absorption are two interrelated concepts that have originally been introduced and studied for linear waves interacting with complex…
Polariton gap and gap-stripe solitons in Zeeman lattices
Dmitry A. Zezyulin Yaroslav V. Kartashov, Ivan A. Shelykh
We predict that spatially modulated Zeeman splitting resulting in the formation of Zeeman lattice can be used for creation of localized self-sustained excitations in spinor polarit…
A universal form of arrays with spectral singularities
Dmitry A. Zezyulin, Vladimir V. Konotop
An array of non-Hermitian optical waveguides can operate as a laser or as a coherent perfect absorber, which corresponds to a spectral singularity of the underlying discrete comple…
Construction of potentials with multiple spectral singularities
Vladimir V. Konotop, Dmitry A. Zezyulin
We develop an approach for designing complex potentials with two or three coexisting spectral singularities in the spectra of the respective Schrödinger operators. The approach is…