Spectral singularities in PT-symmetric Bose-Einstein condensates

被引：30

作者：

Heiss, W. D. ^{[1
,2
]}

Cartarius, H. ^{[3
]}

Wunner, G. ^{[1
,3
]}

Main, J. ^{[3
]}

机构：

[1] Univ Stellenbosch, Dept Phys, ZA-7602 Matieland, South Africa

[2] Natl Inst Theoret Phys NITheP, Western Cape, South Africa

[3] Univ Stuttgart, Inst Theoret Phys 1, D-70569 Stuttgart, Germany

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2013年 / 46卷 / 27期

关键词：

D O I：

10.1088/1751-8113/46/27/275307

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the model of a PT-symmetric Bose-Einstein condensate in a delta-function double-well potential. We demonstrate that analytic continuation of the primarily non-analytic term vertical bar psi vertical bar(2)psi-occurring in the underlying Gross-Pitaevskii equation-yields new branch points where three levels coalesce. We show numerically that the new branch points exhibit the behaviour of exceptional points of second and third order. A matrix model which confirms the numerical findings in analytic terms is given.

引用

页数：16

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