2015/08/10 by Y. D. Chong, Y D Chong, Mikael C. Rechtsman +1 · 1 citation
Materials Science · Physics and Astronomy · #Dispersion (optics) #Dispersion relation #Honeycomb #Hyperboloid #Metamaterials and Metasurfaces Applications #Node (physics) #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #Ring (chemistry) #physics.optics
paper · pdf · doi:10.1088/2040-8978/18/1/014001
published as Journal of Optics 18, 014001 (2015) · 6 pages, 5 figures
arxiv created 2015/08/10 · openalex publication_date 2015/11/17 · arxiv updated 2015/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We propose a technique to realize a tachyonic band structure in a coherent network, such as an array of coupled ring resonators. This is achieved by adding 'PT symmetric' spatially balanced gain and loss to each node of the network. In a square-lattice network, the quasi-energy bandstructure exhibits a tachyonic dispersion relation, centered at either the center or corner of the Brillouin zone. There is one tachyonic hyperboloid in each gap, unlike in PT-symmetric tight-binding honeycomb lattices where the hyperboloids occur in pairs. The dispersion relation can be probed by measuring the peaks in transmission across a finite network as the gain/loss parameter is varied.