# Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions

@article{Achilleos2012DarkSA,
title={Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions},
author={Vasos Achilleos and P G Kevrekidis and Dimitri J. Frantzeskakis and R. Carretero-Gonz'alez},
journal={Physical Review A},
year={2012},
volume={86}
}
We consider nonlinear analogs of parity-time- (PT-) symmetric linear systems exhibiting defocusing nonlinearities. We study the ground state and odd excited states (dark solitons and vortices) of the system and report the following remarkable features. For relatively weak values of the parameter e controlling the strength of the PT-symmetric potential, excited states undergo (analytically tractable) spontaneous symmetry breaking; as e is further increased, the ground state and first excited… Expand
113 Citations
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