On the 2-mode and k-photon quantum Rabi models
文献类型：期刊论文
| 作者 | Zhang, YZ ; Zhang, YZ (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.; Zhang, YZ (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.
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| 刊名 | REVIEWS IN MATHEMATICAL PHYSICS
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| 出版日期 | 2017 |
| 卷号 | 29期号:4页码:1750013 |
| 关键词 | Quasi-exactly Solvable Systems Rabi Model And Extensions Bargmann-hilbert Spaces |
| DOI | http://dx.doi.org/10.1142/S0129055X17500131 |
| 英文摘要 | By mapping the Hamiltonians of the 2-mode and 2-photon Rabi models to differential operators in suitable Hilbert spaces of entire functions, we prove that the two models possess entire and normalizable wave functions in the Bargmann-Hilbert spaces only if the frequency. and coupling strength g satisfy certain constraints. This is in sharp contrast to the quantum Rabi model for which entire wave functions always exist. For model parameters fulfilling the aforesaid constraints, we determine transcendental equations whose roots give the regular energy eigenvalues of the models. Furthermore, we show that for k >= 3, the k-photon Rabi model does not possess wave functions which are elements of the Bargmann-Hilbert space for all non-trivial model parameters. This implies that the k >= 3 case is not diagonalizable, unlike its RWA cousin, the k-photon Jaynes-Cummings model which can be completely diagonalized for all k. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/22069]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Zhang, YZ (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.; Zhang, YZ (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Zhang, YZ,Zhang, YZ ,Zhang, YZ . On the 2-mode and k-photon quantum Rabi models[J]. REVIEWS IN MATHEMATICAL PHYSICS,2017,29(4):1750013. |
| APA | Zhang, YZ,Zhang, YZ ,&Zhang, YZ .(2017).On the 2-mode and k-photon quantum Rabi models.REVIEWS IN MATHEMATICAL PHYSICS,29(4),1750013. |
| MLA | Zhang, YZ,et al."On the 2-mode and k-photon quantum Rabi models".REVIEWS IN MATHEMATICAL PHYSICS 29.4(2017):1750013. |
入库方式： OAI收割
来源：理论物理研究所
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