Revisiting the PT-symmetric trimer: bifurcations, ghost states and associated dynamics

被引：26

作者：

Li, K. ^{[1
]}

Kevrekidis, P. G. ^{[1
]}

Frantzeskakis, D. J. ^{[2
]}

Rueter, C. E. ^{[3
]}

Kip, D. ^{[3
]}

机构：

[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

[2] Univ Athens, Dept Phys, Athens 15784, Greece

[3] Helmut Schmidt Univ, Fac Elect Engn, D-22043 Hamburg, Germany

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2013年 / 46卷 / 37期

基金：

美国国家科学基金会;

关键词：

SOLITONS; STABILITY;

D O I：

10.1088/1751-8113/46/37/375304

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we revisit one of the prototypical PT-symmetric oligomers, namely the trimer. We find all the relevant branches of 'regular' solutions and analyze the bifurcations and instabilities thereof. Our work generalizes the formulation that was recently proposed in the case of dimers for the so-called 'ghost states' of trimers, which we also identify and connect to symmetry-breaking bifurcations from the regular states. We also examine the dynamics of unstable trimers, as well as those of the ghost states in the parametric regime where the latter are found to exist. Finally, we present the current state-of-the-art for optical experiments in PT-symmetric trimers, as well as experimental results in a gain-loss-gain three channel waveguide structure.

引用

页数：12

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