Non-integrability of the semiclassical Jaynes-Cummings models without the rotating-wave approximation

被引：8

作者：

Maciejewski, Andrzej ^{[1
]}

Szuminski, Wojciech ^{[2
]}

机构：

[1] Univ Zielona Gora, Janusz Gil Inst Astron, Lubuska 2, PL-65265 Zielona Gora, Poland

[2] Univ Zielona Gora, Inst Phys, Licealna 9, PL-65407 Zielona Gora, Poland

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 82卷

关键词：

Semi-classical Jaynes-Cummings models; Poincare cross sections; Non-integrability; Variational equations; Differential Galois group;

D O I：

10.1016/j.aml.2018.02.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two versions of the semiclassical Jaynes-Cummings model without the rotating wave approximation are investigated. It is shown that for a non-zero value of the coupling constant the version introduced by Belobrov, Zaslaysky, and Tartakovsky is Hamiltonian with respect to a certain degenerated Poisson bracket. Moreover, it is proved that both models are not integrable. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：132 / 139

页数：8