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

共 50 条

[31] Analytical Linearization of Aerodynamic Loads in Unsteady Vortex-Lattice Method for Nonlinear Aeroelastic Applications
Hente, Christian
Roccia, Bruno A.
Rolfes, Raimund
Gebhardt, Cristian G.
AIAA JOURNAL, 2024, 62 (10) : 3857 - 3880
[32] Analytical QbD-based systematic bioanalytical HPLC method development for estimation of quercetin dihydrate
Sandhu, Premjeet Singh
Beg, Sarwar
Kumar, Rajendra
Katare, O. P.
Singh, Bhupinder
JOURNAL OF LIQUID CHROMATOGRAPHY & RELATED TECHNOLOGIES, 2017, 40 (10) : 506 - 516
[33] Limits of the Nuclear Ensemble Method for Electronic Spectra Simulations: Temperature Dependence of the (E)-Azobenzene Spectrum
Srsen, Stepan
Sita, Jaroslav
Slavicek, Petr
Ladanyi, Vit
Heger, Dominik
JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2020, 16 (10) : 6428 - 6438
[34] TiGrid: A raster-based method for time-interval information representation with geotagged videos as an example
Han, Zhigang
Kong, Yunfeng
Cui, Caihui
Wang, Jiayao
Li, Qian
Chen, Xiang
TRANSACTIONS IN GIS, 2022, 26 (01) : 362 - 384
[35] Effect of disorder on transmission spectra of two-dimensional photonic crystals with transfer matrix method
Tang Bing-Shu
Shen Ting-Gen
JOURNAL OF INFRARED AND MILLIMETER WAVES, 2007, 26 (01) : 73 - 76
[36] On the Effect of Isotropic Hardening on the Coefficient of Restitution for Single or Repeated Impacts Using a Semi-Analytical Method
Chaise, T.
Nelias, D.
Sadeghi, F.
TRIBOLOGY TRANSACTIONS, 2011, 54 (05) : 714 - 722
[37] A rigorous algebraic-analytical method for pore network extraction from micro-tomography images
Barzegar, Farzad
Masihi, Mohsen
Tabar, Mohammad Azadi
JOURNAL OF HYDROLOGY, 2020, 590
[38] Analytical Theory for 3D Consolidation of Layered Viscoelastic Soils Based on Displacement Function Method
Wang, Lujun
Yan, Bingfa
Liu, Xiaotian
JOURNAL OF ENGINEERING MECHANICS, 2022, 148 (08)
[39] Mass spectrometry of analytical derivatives. 1. Cyanide cations in the spectra of N-alkyl-N-perfluoroacyl-α-amino acids and their methyl esters
Todua, Nino G.
Tretyakov, Kirill V.
Mikaia, Anzor I.
EUROPEAN JOURNAL OF MASS SPECTROMETRY, 2015, 21 (03) : 183 - 190
[40] Neutron transport criticality calculations using a parallel monolithic multilevel Schwarz preconditioner together with a nonlinear diffusion acceleration method
Kong, Fande
ANNALS OF NUCLEAR ENERGY, 2020, 141

← 1 2 3 4 5 →