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Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators

文献类型：期刊论文

作者Peng, Jie1,2,3,4; Ren, Zhongzhou3,4,5,6,7; Yang, Haitao8; Guo, Guangjie9; Zhang, Xin3,4,5; Ju, Guoxing3,4; Guo, Xiaoyong10; Deng, Chaosheng1,2; Hao, Guolin1,2
刊名JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
出版日期2015-07-17
卷号48
关键词two-qubit quantum Rabi model algebraic structure bogoliubov operators solvability dark-state-like eigenstates
ISSN号1751-8113
DOI10.1088/1751-8113/48/28/285301
英文摘要We have found the algebraic structure of the two-qubit quantum Rabi model behind the possibility of its novel exceptional eigenstates with finite photon numbers by analyzing the Hamiltonian in the photon number space. The exceptional solutions with at most 1 photon exist in the whole qubit-photon coupling regime with constant eigenenergy equal to single photon energy h omega, which can be clearly demonstrated from the Hamiltonian structure. With a similar method, we find that these special dark-state-like eigenstates (the eigenenergy is coupling-independent, but the wave function is coupling-dependent) commonly exist for the two-qubit Jaynes-Cummings model, with E = Nh omega (N = -1, 0, 1,...), and one of them is also the eigenstate of the two-qubit quantum Rabi model, which is interesting for application in a simpler way. Besides, using Bogoliubov operators, we analytically retrieve the solution of the general two-qubit quantum Rabi model. In this concise and physical way, we clearly see how the eigenvalues of the infinite-dimensional two-qubit quantum Rabi Hamiltonian are determined by a convergent power series, so that the solution can reach arbitrary accuracy conveniently because of the convergence property.
WOS关键词QUBITS ; CAVITY ; SPACE ; STATE
资助项目Program for Changjiang Scholars and Innovative Research Team in University[IRT13093]
WOS研究方向Physics
语种英语
WOS记录号WOS:000357281400010
出版者IOP PUBLISHING LTD
源URL[http://119.78.100.186/handle/113462/57049]  
专题中国科学院近代物理研究所
通讯作者Peng, Jie
作者单位1.Xiangtan Univ, Lab Quantum Engn & Micronano Energy Technol, Xiangtan 411105, Hunan, Peoples R China
2.Xiangtan Univ, Sch Phys & Optoelect, Xiangtan 411105, Hunan, Peoples R China
3.Nanjing Univ, Key Lab Modern Acoust, Nanjing 210093, Jiangsu, Peoples R China
4.Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China
5.Nanjing Univ, Joint Ctr Nucl Sci & Technol, Nanjing 210093, Jiangsu, Peoples R China
6.Ctr Theoret Nucl Phys, Natl Lab Heavy Ion Accelerator, Lanzhou 730000, Peoples R China
7.Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China
8.Zhaotong Univ, Coll Phys & Elect Informat Engn, Zhaotong 657000, Peoples R China
9.Xingtai Univ, Dept Phys, Xingtai 054001, Peoples R China
10.Tianjin Univ Sci & Technol, Sch Sci, Tianjin 300457, Peoples R China
推荐引用方式
GB/T 7714		 Peng, Jie,Ren, Zhongzhou,Yang, Haitao,et al. Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2015,48.
APA Peng, Jie.,Ren, Zhongzhou.,Yang, Haitao.,Guo, Guangjie.,Zhang, Xin.,...&Hao, Guolin.(2015).Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,48.
MLA Peng, Jie,et al."Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 48(2015).

入库方式： OAI收割

来源：近代物理研究所

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