February 2013
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## Pseudo Parity-Time Symmetry in Optical Systems

Xiaobing Luo, Honghua Zhong, Jiahao Huang, Xizhou Qin, Qiongtao Xie, Yuri S. Kivshar, Chaohong Lee

We introduce a novel concept of the {\em pseudo} parity-time ($$\mathcal{PT}$$) symmetry in periodically modulated optical systems with balanced gain and loss. We demonstrate that whether the original system is $$\mathcal{PT}$$-symmetric or not, we can manipulate the property of the $$\mathcal{PT}$$ symmetry by applying a periodic modulation in such a way that the effective system derived by the high-frequency Floquet method is $$\mathcal{PT}$$ symmetric. If the original system is non-$$\mathcal{PT}$$ symmetric, the $$\mathcal{PT}$$ symmetry in the effective system will lead to quasi-stationary propagation that can be associated with the \emph{pseudo $$\mathcal{PT}$$ symmetry}. Our results provide a promising approach for manipulating the $$\mathcal{PT}$$ symmetry of realistic systems.

http://arxiv.org/abs/1302.1091
Optics (physics.optics); Quantum Physics (quant-ph)