Breaking of PT Symmetry in Bounded and Unbounded Scattering Systems

被引：105

作者：

Ambichl, Philipp ^{[1
]}

Makris, Konstantinos G. ^{[1
,2
]}

Ge, Li ^{[3
]}

Chong, Yidong ^{[4
]}

Stone, A. Douglas ^{[5
]}

Rotter, Stefan ^{[1
]}

机构：

[1] Vienna Univ Technol, Inst Theoret Phys, A-1040 Vienna, Austria

[2] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA

[3] CUNY Coll Staten Isl, Dept Engn Sci & Phys, Staten Isl, NY 10314 USA

[4] Nanyang Technol Univ, Div Phys & Appl Phys, Singapore 637371, Singapore

[5] Yale Univ, Dept Appl Phys, New Haven, CT 06520 USA

来源：

PHYSICAL REVIEW X | 2013年 / 3卷 / 04期

基金：

奥地利科学基金会; 新加坡国家研究基金会; 美国国家科学基金会;

关键词：

COMPLEX PERIODIC POTENTIALS; SEMICLASSICAL QUANTIZATION; SPECTRA; BILLIARDS;

D O I：

10.1103/PhysRevX.3.041030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

PT-symmetric scattering systems with balanced gain and loss can undergo a symmetry-breaking transition in which the eigenvalues of the nonunitary scattering matrix change their phase shifts from real to complex values. We relate the PT-symmetry-breaking points of such an unbounded scattering system to those of the underlying bounded systems. In particular, we show how the PT thresholds in the scattering matrix of the unbounded system translate into analogous transitions in the Robin boundary conditions of the corresponding bounded systems. Based on this relation, we argue and then confirm that the PT transitions in the scattering matrix are, under very general conditions, entirely insensitive to a variable coupling strength between the bounded region and the unbounded asymptotic region, a result that can be tested experimentally and visualized using the concept of Smith charts.

引用

页数：9

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