Coupled oscillators with parity-time symmetry

被引：17
|
作者：
Tsoy, Eduard N. [1 ]
机构：
[1] Uzbek Acad Sci, Phys Tech Inst, Bodomzor Yuli St 2-B, Tashkent 84, Uzbekistan
来源：
PHYSICS LETTERS A | 2017年 / 381卷 / 05期
关键词：
Coupled oscillators; Parity-time symmetry; Hamiltonian system; NON-HERMITIAN HAMILTONIANS; REPRESENTATION;
D O I：
10.1016/j.physleta.2016.12.023
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Different models of coupled oscillators with parity-time (PT) symmetry are studied. Hamiltonian functions for two and three linear oscillators coupled via coordinates and accelerations are derived. Regions of stable dynamics for two coupled oscillators are obtained. It is found that in some cases, an increase of the gain-loss parameter can stabilize the system. A family of Hamiltonians for two coupled nonlinear oscillators with PT-symmetry is obtained. An extension to high-dimensional PT-symmetric systems is discussed. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：462 / 466
页数：5
相关论文
共 50 条
  • [1] Parity-Time Symmetry in Planar Coupled Magnonic Heterostructures
    Temnaya, O. S.
    Safin, A. R.
    Kalyabin, D. V.
    Nikitov, S. A.
    PHYSICAL REVIEW APPLIED, 2022, 18 (01)
  • [2] Parity-Time Symmetry Breaking in Coupled Nanobeam Cavities
    Zhang, Senlin
    Yong, Zhengdong
    Zhang, Yuguang
    He, Sailing
    SCIENTIFIC REPORTS, 2016, 6
  • [3] Parity-Time Symmetry in Bidirectionally Coupled Semiconductor Lasers
    Wilkey, Andrew
    Suelzer, Joseph
    Joglekar, Yogesh
    Vemuri, Gautam
    PHOTONICS, 2019, 6 (04)
  • [4] Parity-Time Symmetry Breaking in Coupled Nanobeam Cavities
    Senlin Zhang
    Zhengdong Yong
    Yuguang Zhang
    Sailing He
    Scientific Reports, 6
  • [5] Parity-Time Symmetry in Laterally Coupled Bragg Waveguides
    Boucher, Yann G.
    Feron, Patrice
    IEEE JOURNAL OF QUANTUM ELECTRONICS, 2019, 55 (06)
  • [6] Virtual Parity-Time Symmetry
    Li, Huanan
    Mekawy, Ahmed
    Krasnok, Alex
    Alu, Andrea
    PHYSICAL REVIEW LETTERS, 2020, 124 (19)
  • [7] Parity-time symmetry breaking in optically coupled semiconductor lasers
    Suelzer, Joseph S.
    Joglekar, Yogesh N.
    Vemuri, Gautam
    ACTIVE PHOTONIC MATERIALS VIII, 2016, 9920
  • [8] The anyonic recovery of parity-time symmetry in coupled circuits system
    Liu, Xin-chang
    Sun, Dan-dan
    Shi, Xiao-dong
    Zhang, Xiao-lei
    Zhang, Q., I
    Xin, Xiang-jun
    EPL, 2022, 140 (05)
  • [9] Coupled Mode Theory Under The Parity-Time Symmetry Frame
    Li, Yubo
    Guo, Xianxin
    Chen, Li
    Xu, Chao
    Yang, Jianyi
    Jiang, Xiaoqing
    Wang, Minghua
    JOURNAL OF LIGHTWAVE TECHNOLOGY, 2013, 31 (15) : 2477 - 2481
  • [10] Electrically Pumped Coupled Waveguide Lasers by Parity-Time Symmetry
    Yao, Ruizhe
    Lee, Chi-Sen
    Podolskiy, Viktor
    Guo, Wei
    2017 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2017,
12345