Non-Hermitian trimers: PT-symmetry versus pseudo-Hermiticity

DOI10.1088/1367-2630/18/6/065005zbMath1456.81201OpenAlexW2426151348MaRDI QIDQ5855054

A. Kenfack-Jiotsa, Sergey V. Suchkov, F. Fotsa-Ngaffo, Arnaud D. Tikeng, Andrey A. Sukhorukov, Timoléon Créprin Kofané, Yuri S. Kivshar

Publication date: 12 March 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1367-2630/18/6/065005

Mathematics Subject Classification ID

Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

Related Items (2)

Dynamics of cubic-quintic nonlinear \(\mathcal{PT}\)-symmetry mechanical oscillators ⋮ Integrability conditions and solitonic solutions of the nonlinear Schrödinger equation with generalized dual-power nonlinearities, PT-symmetric potentials, and space- and time-dependent coefficients

Cites Work

• Revisiting the $\mathcal {P}\mathcal {T}$-symmetric trimer: bifurcations, ghost states and associated dynamics
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• Exceptional points in open quantum systems
• Exceptional points of non-Hermitian operators
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Self-dual spectral singularities and coherent perfect absorbing lasers without $\mathcal {P}\mathcal {T}$-symmetry

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