文献类型：期刊文献

英文题名：Analytical solutions for the Rabi model

作者：Yu, Lixian[1,2,3];Zhu, Shiqun[2];Liang, Qifeng[3];Chen, Gang[1];Jia, Suotang[1]

机构：[1]Shanxi Univ, Laser Spect Lab, State Key Lab Quantum Opt & Quantum Opt Devices, CN-030006 Taiyuan, Peoples R China;[2]Soochow Univ, Sch Phys Sci & Technol, CN-215006 Suzhou, Jiangsu, Peoples R China;[3]Shaoxing Univ, Dept Phys, CN-312000 Shaoxing, Peoples R China

年份：2012

卷号：86

期号：1

外文期刊名：PHYSICAL REVIEW A

收录：SCI-EXPANDED(收录号：WOS:000306307800010)、、EI(收录号：20122915263338)、Scopus(收录号：2-s2.0-84863814177)、WOS

基金：We thank Dr. Yuanwei Zhang for his helpful discussions. This work was supported partly by the 973 Program under Grant No. 2012CB921603; the NNSFC under Grants No. 10934004, No. 60978018, No. 10904092, No. 11074154, No. 11074184, and No. 61008012; the NNSFC Project for Excellent Research Team under Grant No. 61121064; the International Science and Technology Cooperation Program of China under Grant No. 2001DFA12490; and SRPPED under Grant No. Q20101308.

语种：英文

外文关键词：Electrodynamics - Excited states - Jaynes-Cummings model - Multiphoton processes - Perturbation techniques - Wave functions

外文摘要：In this Brief Report, we present a perturbation theory that omits the weak multiphoton process to obtain analytical solutions for the Rabi model. Under this approximation, the Rabi model can be mapped into the solvable Jaynes-Cummings-like model by choosing a proper variation parameter. As a result, both the ground-and excited-state-energy spectrums and wave functions can be derived easily. Moreover, these explicit results agree well with the direct numerical simulation in a wide range of the experimental parameters. In addition, based on our obtained energy spectrums, the recent experimental observation of the Bloch-Siegert shift in the circuit quantum electrodynamics with ultrastrong coupling can be explained perfectly. We believe that our results have potential applications in solid-state quantum-information processing.