$\mathcal{PT}$-symmetry breaking in a necklace of coupled optical waveguides

Autor:	Barashenkov, I V, Baker, L, Alexeeva, N V
Rok vydání:	2013
Předmět:	Physics - Optics Mathematical Physics Nonlinear Sciences - Pattern Formation and Solitons
Zdroj:	Physical Review A 87, 033819 (2013)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevA.87.033819
Popis:	We consider parity-time ($\mathcal{PT}$) symmetric arrays formed by $N$ optical waveguides with gain and $N$ waveguides with loss. When the gain-loss coefficient exceeds a critical value $\gamma_c$, the $\mathcal{PT}$-symmetry becomes spontaneously broken. We calculate $\gamma_c(N)$ and prove that $\gamma_c \to 0$ as $N \to \infty$. In the symmetric phase, the periodic array is shown to support $2N$ solitons with different frequencies and polarisations. Comment: 6 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1311.4123 Zobrazit plný text záznamu View this record from Arxiv