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Peng, J; Ren, ZZ; Yang, HT; Guo, GJ; Zhang, X; Ju, GX; Guo, XY; Deng, CS; Hao, GL; Peng, J (reprint author), Xiangtan Univ, Lab Quantum Engn & Micronano Energy Technol, Xiangtan 411105, Hunan, Peoples R China.
Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Language英语
KeywordTwo-qubit Quantum Rabi Model Algebraic Structure Bogoliubov Operators Solvability Dark-state-like Eigenstates
AbstractWe 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.
2015
Volume48Issue:28Pages:285301
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1088/1751-8113/48/28/285301
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11347112, 11204263, 11035001, 11404274, 10735010, 10975072, 11375086, 11120101005] ; National Natural Science Foundation of China [11347112, 11204263, 11035001, 11404274, 10735010, 10975072, 11375086, 11120101005] ; National Natural Science Foundation of China [11347112, 11204263, 11035001, 11404274, 10735010, 10975072, 11375086, 11120101005] ; National Natural Science Foundation of China [11347112, 11204263, 11035001, 11404274, 10735010, 10975072, 11375086, 11120101005] ; 973 National Major State Basic Research and Development of China [2010CB327803, 2013CB834400] ; 973 National Major State Basic Research and Development of China [2010CB327803, 2013CB834400] ; 973 National Major State Basic Research and Development of China [2010CB327803, 2013CB834400] ; 973 National Major State Basic Research and Development of China [2010CB327803, 2013CB834400] ; CAS Knowledge Innovation Project [KJCX2-SW-N02] ; CAS Knowledge Innovation Project [KJCX2-SW-N02] ; CAS Knowledge Innovation Project [KJCX2-SW-N02] ; CAS Knowledge Innovation Project [KJCX2-SW-N02] ; Research Fund of Doctoral Point (RFDP) Grant [20100091110028] ; Research Fund of Doctoral Point (RFDP) Grant [20100091110028] ; Research Fund of Doctoral Point (RFDP) Grant [20100091110028] ; Research Fund of Doctoral Point (RFDP) Grant [20100091110028] ; Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) ; Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) ; Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) ; Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) ; Scientific Research Fund of Hunan Provincial Education Department [12C0416] ; Scientific Research Fund of Hunan Provincial Education Department [12C0416] ; Scientific Research Fund of Hunan Provincial Education Department [12C0416] ; Scientific Research Fund of Hunan Provincial Education Department [12C0416] ; Program for Changjiang Scholars and Innovative Research Team in University [IRT13093] ; Program for Changjiang Scholars and Innovative Research Team in University [IRT13093] ; Program for Changjiang Scholars and Innovative Research Team in University [IRT13093] ; Program for Changjiang Scholars and Innovative Research Team in University [IRT13093]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/20923
Collection理论物理所科研产出_SCI论文
Corresponding AuthorPeng, J (reprint author), Xiangtan Univ, Lab Quantum Engn & Micronano Energy Technol, Xiangtan 411105, Hunan, Peoples R China.
Recommended Citation
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.,...&Peng, J .(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.
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