Analytical method of spectra calculations in the Bargmann representation

被引：44

作者：

Maciejewski, Andrzej J. ^{[1
]}

Przybylska, Maria ^{[2
]}

Stachowiak, Tomasz ^{[3
]}

机构：

[1] Univ Zielona Gora, J Kepler Inst Astron, PL-65417 Zielona Gora, Poland

[2] Univ Zielona Gora, Inst Phys, PL-65417 Zielona Gora, Poland

[3] Polish Acad Sci, Ctr Theoret Phys, PL-02668 Warsaw, Poland

来源：

PHYSICS LETTERS A | 2014年 / 378卷 / 46期

关键词：

Rabi model; Bargmann representation; Quantum optics; NONADIABATIC HAMILTONIANS; 2-LEVEL SYSTEM; RABI MODEL; QUANTUM; SPACE;

D O I：

10.1016/j.physleta.2014.10.001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We formulate a universal method for solving an arbitrary quantum system which, in the Bargmann representation, is described by a system of linear equations with one independent variable, such as one- and multi-photon Rabi models, or N level systems interacting with a single mode of the electromagnetic field and their various generalizations. We explain three types of conditions that determine the spectrum and show their usage for two deformations of the Rabi model. We prove that the spectra of both models are just zeros of transcendental functions, which in one case are given explicitly in terms of confluent Heun functions. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：3445 / 3451

页数：7

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