Integrability and trajectory confinement in $\mathcal{PT}$-symmetric waveguide arrays

Autor:	Barashenkov, I V, Smuts, Frank, Chernyavsky, Alexander
Rok vydání:	2023
Předmět:	Physics - Optics Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/acc3ce
Popis:	We consider $\mathcal{PT}$-symmetric ring-like arrays of optical waveguides with purely nonlinear gain and loss. Regardless of the value of the gain-loss coefficient, these systems are protected from spontaneous $\mathcal{PT}$-symmetry breaking. If the nonhermitian part of the array matrix has cross-compensating structure, the total power in such a system remains bounded -- or even constant -- at all times. We identify two-, three-, and four-waveguide arrays with cross-compensatory nonlinear gain and loss that constitute completely integrable Hamiltonian systems. Comment: 10 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.14493 Zobrazit plný text záznamu View this record from Arxiv