Tachyonic dispersion in coherent networks

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 bandstructu...

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Bibliographic Details
Published in:Journal of optics (2010) 2016-01, Vol.18 (1), p.14001-14006
Main Authors: Chong, Y D, Rechtsman, M C
Format: Article
Language:English
Subjects:
Arrays
Band structure of solids
Coherence
Corners
Dispersion
Gain
Mathematical analysis
network models
Networks
photonic bandstructures
tachyons
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Summary: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.
ISSN:2040-8978
2040-8986
DOI:10.1088/2040-8978/18/1/014001