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, J; Ren, ZZ; Yang, HT; Guo, GJ; Zhang, X; Ju, GX; Guo, XY; Deng, CS; Hao, GL |
| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
 |
| 出版日期 | 2015 |
| 卷号 | 48期号:28页码:285301 |
| 关键词 | two-qubit quantum Rabi model algebraic structure bogoliubov operators solvability dark-state-like eigenstates |
| 通讯作者 | Peng, J (reprint author), Xiangtan Univ, Lab Quantum Engn & Micronano Energy Technol, Xiangtan 411105, Hunan, Peoples R China. |
| 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. |
| 学科主题 | Physics |
| 类目[WOS] | Physics, Multidisciplinary ; Physics, Mathematical |
| 关键词[WOS] | QUBITS ; CAVITY ; SPACE ; STATE |
| 收录类别 | SCI |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/20923]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 推荐引用方式 GB/T 7714 | Peng, J,Ren, ZZ,Yang, HT,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(28):285301. |
| APA | Peng, J.,Ren, ZZ.,Yang, HT.,Guo, GJ.,Zhang, X.,...&Hao, GL.(2015).Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,48(28),285301. |
| MLA | Peng, J,et al."Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 48.28(2015):285301. |
入库方式： OAI收割
来源：理论物理研究所
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