Nonlinear modes in rotating double well potential with parity-time symmetry

doi:10.1088/1674-1056/23/10/104214

›› 2014, Vol. 23 ›› Issue (10): 104214-104214.doi: 10.1088/1674-1056/23/10/104214

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Nonlinear modes in rotating double well potential with parity-time symmetry

庞玮^a, 付神贺^b, 吴剑雄^c, 黎永耀^d, 麦志杰^d

a Department of Experiment Teaching, Guangdong University of Technology, Guangzhou 510006, China;
b State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University, Guangzhou 510275, China;
c Department of Electrical and Computer Engineering, University of Toronto, Toronto, M5S3G4, Canada;
d Department of Applied Physics, South China Agricultural University, Guangzhou 510642, China

收稿日期:2013-11-25 修回日期:2014-01-06 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11104083 and 10934011).

Nonlinear modes in rotating double well potential with parity-time symmetry

Pang Wei (庞玮)^a, Fu Shen-He (付神贺)^b, Wu Jian-Xiong (吴剑雄)^c, Li Yong-Yao (黎永耀)^d, Mai Zhi-Jie (麦志杰)^d

a Department of Experiment Teaching, Guangdong University of Technology, Guangzhou 510006, China;
b State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University, Guangzhou 510275, China;
c Department of Electrical and Computer Engineering, University of Toronto, Toronto, M5S3G4, Canada;
d Department of Applied Physics, South China Agricultural University, Guangzhou 510642, China

Received:2013-11-25 Revised:2014-01-06 Online:2014-10-15 Published:2014-10-15
Contact: Mai Zhi-Jie E-mail:zhijiemai@gmail.com
About author:42.65.Tg; 42.65.Jx; 42.65.Wi
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11104083 and 10934011).

摘要/Abstract

摘要： We investigate the nonlinear modes in a rotating double well potential with PT symmetry. Focus on the existence and stability of the nonlinear PT modes in this system, we found that five types of PT modes can stably exist by given certain parameter settings. The multistable area between these modes are studied numerically and the bistable and tristable areas are delimited. With different input trial wavefunctions, five types of solitary wave modes are identified. We found that the rotating of the potential can significantly affect the power flow of the fundamental harmonic mode, whose effect is absent for the other modes.

关键词: parity-time mode, rotating double well potential, parity-time symmetric, stability diagram

Abstract: We investigate the nonlinear modes in a rotating double well potential with PT symmetry. Focus on the existence and stability of the nonlinear PT modes in this system, we found that five types of PT modes can stably exist by given certain parameter settings. The multistable area between these modes are studied numerically and the bistable and tristable areas are delimited. With different input trial wavefunctions, five types of solitary wave modes are identified. We found that the rotating of the potential can significantly affect the power flow of the fundamental harmonic mode, whose effect is absent for the other modes.

Key words: parity-time mode, rotating double well potential, parity-time symmetric, stability diagram

中图分类号: (Optical solitons; nonlinear guided waves)

42.65.Tg

42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation) 42.65.Wi (Nonlinear waveguides)

庞玮, 付神贺, 吴剑雄, 黎永耀, 麦志杰. Nonlinear modes in rotating double well potential with parity-time symmetry[J]. , 2014, 23(10): 104214-104214.

Pang Wei (庞玮), Fu Shen-He (付神贺), Wu Jian-Xiong (吴剑雄), Li Yong-Yao (黎永耀), Mai Zhi-Jie (麦志杰). Nonlinear modes in rotating double well potential with parity-time symmetry[J]. Chin. Phys. B, 2014, 23(10): 104214-104214.

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Nonlinear modes in rotating double well potential with parity-time symmetry

Nonlinear modes in rotating double well potential with parity-time symmetry

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