%0 Journal Article %T Kibble-Zurek mechanism in topologically non-trivial zigzag chains of polariton micropillars %A D. D. Solnyshkov %A A. V. Nalitov %A G. Malpuech %J Physics %D 2015 %I arXiv %X We consider a zigzag chain of coupled micropillar cavities, taking into account the polarization of polariton states. We show that the TE-TM splitting of photonic cavity modes yields topologically protected polariton edge states. During the strongly non-adiabatic process of polariton condensation, the Kibble-Zurek mechanism leads to a random choice of polarization, equivalent to dimerization of polymer chains. We show that dark-bright solitons appear as domain walls between polarization domains, analogous to the Su-Schrieffer-Heeger solitons in polymers. The soliton density scales as a power law with respect to the quenching parameter. %U http://arxiv.org/abs/1506.04626v1