Pseudo Parity-Time Symmetry in Optical Systems

Abstract

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

accepted for publication in Physical Review Letters, including supplementary materials

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