物理学报2024，Vol.73Issue(16)：47-57,11.DOI:10.7498/aps.73.20240690
周期调制四通道光学波导的宇称-时间对称特性调控和动力学研究
Parity-time symmetry characterization and dynamics of periodically modulated four-channel optical waveguides
摘要
Abstract
The control of parity-time(PT)symmetry in cosmic-time PT symmetry system is of great significance,but the experimental realization of such an optical configuration using current technology faces enormous challenges.On the contrary,the periodic modulation method is a more feasible alternative.It is worth noting that periodic modulation in optical system is mainly performed through the cyclic change of complex refractive index materials.Unlike the traditional method of aligning periodically modulated waveguides in parallel to gain-dissipative waveguides to satisfy PT symmetry,an innovative physical model introduced in this work,features the cross-placement of these waveguides,marking it the first instance to use this configuration to manipulate PT symmetry.In this work,the influence of periodic modulation on the energy spectrum of the system in the high-frequency approximation is studied,and the dynamical evolution of light in a non-Hermitian four-channel optical waveguide is elucidated through a synergistic method of combining analytical method and numerical method.Adjusting the modulation parameter A/ω reveals a dual capability:it modulates the range of the real energy spectrum and precisely controls the PT symmetry of the system.Notably,at A/ω=0,this structure exhibits a completely real energy spectrum,which is different from the traditional parallel four-channel waveguide configuration.Furthermore,as A/ω varies from 0 to 2.4,the relative intensity and optical periodicity in each waveguide exhibit enhanced stability compared with their traditionally arranged counterparts.Furthermore,our examination of PT symmetry's effect on light tunneling dynamics in individual waveguide reveals that in the unbroken PT symmetry phase,light oscillates periodically between waveguides,whereas in the broken PT symmetry phase,light propagation in each waveguide becomes stable.In the presence of waveguide coupling,it is observed that each waveguide in the system can obtain steady-state light regardless of the initial light injection point.Furthermore,under weak coupling between the gain-dissipative two-channel waveguide and the neutral waveguide,light,regardless of its entry point,will localize in the gain waveguide with propagation distance,disappear from other waveguides,and ultimately reach a steady-state configuration.The findings reveal that unlike the scenario of traditional four-channel optical waveguide system,the periodic modulation not only narrows the range of existence for the fully real energy spectrum but also enables its earlier observation.Furthermore,the relative light intensity and optical periodicity in the four-channel waveguide exhibit greater stability against variations of modulation parameters.Hence,this theoretical exploration not only profoundly summarizes the universal principle of PT-symmetric tetramers,but also elucidates that spontaneous PT symmetry breaking greatly changes the optical transmission characteristics,transforming periodic light propagation into steady-state illumination,and providing an enhanced and more robust configuration for the manipulation of PT symmetry.关键词
宇称-时间对称/周期调制/四通道波导Key words
parity-time symmetry/periodic modulation/four-channel waveguide引用本文复制引用
张光成,孙武,周志鹏,全秀娥,叶伏秋..周期调制四通道光学波导的宇称-时间对称特性调控和动力学研究[J].物理学报,2024,73(16):47-57,11.基金项目
国家自然科学基金(批准号:12165008)资助的课题. Project supported by the National Natural Science Foundation of China(Grant No.12165008). （批准号:12165008）
