Tachyonic dispersion in coherent networks

Y. D. Chong, M. C. Rechtsman

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.

Original languageEnglish (US)
Article number014001
JournalJournal of Optics (United Kingdom)
Issue number1
StatePublished - Nov 17 2015

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics


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