Matouš Ringel, Mikhail Pletyukhov, Vladimir Gritsev
Hybrid photonic nanostructures allow to engineer novel interesting states of light. One recent example of that are topological photonic crystals where nontrivial Berry phase of photonic band structure gives rise to topologically protected unidirectionally-propagating (chiral) edge states of photons. Here we demonstrate that by coupling an array of emitters to the chiral photonic edge state one can create collective strongly - correlated states of photons in a highly controllable way. These correlated states are topologically protected and have a number of remarkable universal properties. Namely, an outcome of scattering does not depend on the position of emitters and is given only by the universal numbers, zeroes of Laguerre polynomials; correlation functions demonstrate clear even-odd effect and the result of scattering off a system is robust with respect to inhomogeneous broadening.
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http://arxiv.org/abs/1212.6432
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