Floquet control of the gain and loss in a <inline-formula><math xmlns:mml=

doi:10.1007/s11467-016-0642-x

Front. Phys.

2017, Vol. 12

Issue (1) : 121102 https://doi.org/10.1007/s11467-016-0642-x

RESEARCH ARTICLE

Floquet control of the gain and loss in a

P T

-symmetric optical coupler

Yi Wu¹,Bo Zhu²,Shu-Fang Hu³,Zheng Zhou⁴(

),Hong-Hua Zhong³(

)

¹. Department of Physics, Engineering University of CAPF, Xi’an 710086, China
². School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus), Zhuhai 519082, China
³. Institute of Mathematics and Physics, Central South University of Forestry and Technology, Changsha 410004, China
⁴. Department of Physics, Hunan Institute of Technology, Hengyang 421002, China

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Abstract

Controlling the balanced gain and loss in a $P T$ -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 $P T$ -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 $P T$ symmetry control schemes, our protocol can modulate the unbroken $P T$ -symmetric range to a wider parameter region. Our results provide a promising approach for controlling the gain and loss of a realistic system.

Keywords PT symmetry')" href="#">

P T

symmetry periodic modulation optical coupler

Corresponding Author(s): Zheng Zhou,Hong-Hua Zhong

Issue Date: 19 December 2016

Cite this article:

Yi Wu,Bo Zhu,Shu-Fang Hu, et al. Floquet control of the gain and loss in a

P T

-symmetric optical coupler[J]. Front. Phys. , 2017, 12(1): 121102.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-016-0642-x
https://academic.hep.com.cn/fop/EN/Y2017/V12/I1/121102

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