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arXiv · 1408.0687

Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials

Jianke Yang
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Abstract

Symmetry breaking of solitons in a class of one-dimensional parity-time (PT) symmetric complex potentials with cubic nonlinearity is reported. In generic PT-symmetric potentials, such symmetry breaking is forbidden. However, in a special class of PT-symmetric potentials $V(x)=g^2(x)+αg(x)+ i g'(x)$, where $g(x)$ is a real and even function and $α$ a real constant, symmetry breaking of solitons can occur. That is, a branch of non-PT-symmetric solitons can bifurcate out from the base branch of PT-symmetric solitons when the base branch's power reaches a certain threshold. At the bifurcation point, the base branch changes stability, and the bifurcated branch can be stable.

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Jianke Yang. 2014-08-04. Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials. https://doi.org/10.1364/ol.39.005547

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