Waveguide-induced coalescence of exceptional points

被引：11

作者：

Wang, Xing-Yuan ^{[1
]}

Wang, Fei-Fan ^{[2
,3
]}

Hu, Xiao-Yong ^{[2
,3
]}

机构：

[1] Beijing Univ Chem Technol, Coll Math & Phys, Beijing 100029, Peoples R China

[2] Peking Univ, State Key Lab Mesoscop Phys, Collaborat Innovat Ctr Quantum Matter, Beijing 100871, Peoples R China

[3] Peking Univ, Dept Phys, Collaborat Innovat Ctr Quantum Matter, Beijing 100871, Peoples R China

来源：

PHYSICAL REVIEW A | 2020年 / 101卷 / 05期

关键词：

Effective Hamiltonian - Eigenstates - Exceptional points - Hermitians - Mode coupling - Ring cavities - Second orders - Unidirectional coupling;

D O I：

10.1103/PhysRevA.101.053820

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In non-Hermitian systems, multiple eigenstates can merge into one state at so-called exceptional points (EPs). This paper presents the coalescence of the multiple EPs based on a waveguide. For the ring cavities located at the second-order EPs with desired chiral modes, the waveguide provides unidirectional couplings among the modes of the second-order EPs, which merges the second-order EPs into one high-order EP. The principle of this framework and properties of this system are presented by analyzing the effective Hamiltonian of the system, a mode-coupling diagram, and numerical simulations.

引用

页数：9

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