Visualization of branch points in PT-symmetric waveguides

被引：834

作者：

Klaiman, Shachar ^{[1
]}

Guenther, Uwe ^{[3
]}

Moiseyev, Nimrod ^{[1
,2
]}

机构：

[1] Technion Israel Inst Technol, Shulich Dept Chem, IL-32000 Haifa, Israel

[2] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel

[3] Res Ctr Dresden Rossendorf, D-01314 Dresden, Germany

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 101卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.101.080402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The visualization of an exceptional point in a PT-symmetric directional coupler (DC) is demonstrated. In such a system the exceptional point can be probed by varying only a single parameter. Using the Rayleigh-Schrodinger perturbation theory we prove that the spectrum of a PT-symmetric Hamiltonian is real as long as the radius of convergence has not been reached. We also show how one can use a PT-symmetric directional coupler to measure the radius of convergence for non-PT-symmetric structures. For such systems the physical meaning of the rather mathematical term radius of convergence is exemplified.

引用

页数：4

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