Floquet control of the gain and loss in a \mathcal{P}\mathcal{T}-symmetric optical coupler

Abstract

Controlling the balanced gain and loss in a \mathcal{P}\mathcal{T}-symmetric system is a rather challenging task. Utilizing Floquet theory, we explore the constructive role of periodic modulation in controlling the gain and loss of a \mathcal{P}\mathcal{T}-symmetric optical coupler. It is found that the gain and loss of the system can be manipulated by applying a periodic modulation. Further, such an original non-Hermitian system can even be modulated into an effective Hermitian system derived by the high-frequency Floquet method. Therefore, compared with other \mathcal{P}\mathcal{T} symmetry control schemes, our protocol can modulate the unbroken \mathcal{P}\mathcal{T}-symmetric range to a wider parameter region. Our results provide a promising approach for controlling the gain and loss of a realistic system.

Keywords

\mathcal{P}\mathcal{T} symmetry')">\mathcal{P}\mathcal{T} symmetry / periodic modulation / optical coupler

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