A generalized G-function for the Quantum Rabi Model

被引：31

作者：

Braak, Daniel ^{[1
,2
]}

机构：

[1] Univ Augsburg, EP VI, D-86135 Augsburg, Germany

[2] Univ Augsburg, Ctr Elect Correlat & Magnetism, D-86135 Augsburg, Germany

来源：

ANNALEN DER PHYSIK | 2013年 / 525卷 / 03期

关键词：

quantum optics; integrable systems; Schrodinger operators; HAMILTONIANS; SPACE;

D O I：

10.1002/andp.201200270

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The analytical solution of the quantum Rabi model is based on a transcendental function G(x), the zeros of which determine the eigenenergies. G(x) is generalized here to a function G(x;z), which allows a much better numerical control of the high-energy part of the spectrum by an appropriate choice of the complex parameter z. Additionally, it is shown that all zeros of G(x) correspond to eigenvalues of the Hamiltonian as well as the zeros of G(x;z) for imaginary z.

引用

收藏

页码：L23 / L28

页数：6

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