Analytical energy spectrum for hybrid mechanical systems
Zhong, Honghua1,2; Xie, Qiongtao1,3; Guan, Xiwen4,5; Batchelor, Murray T.5,6,7; Gao, Kelin4; Lee, Chaohong1
刊名JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2014-01-31
卷号47期号:4
关键词quantum Rabi model hybrid mechanical systems
英文摘要We investigate the energy spectrum for hybrid mechanical systems described by non-parity-symmetric quantum Rabi models. A set of analytical solutions in terms of the confluent Heun functions and their analytical energy spectrum is obtained. The analytical energy spectrum includes regular and exceptional parts, which are both confirmed by direct numerical simulation. The regular part is determined by the zeros of the Wronskian for a pair of analytical solutions. The exceptional part is relevant to the isolated exact solutions and its energy eigenvalues are obtained by analyzing the truncation conditions for the confluent Heun functions. By analyzing the energy eigenvalues for exceptional points, we obtain the analytical conditions for the energy-level crossings, which correspond to two-fold energy degeneracy.
WOS标题词Science & Technology ; Physical Sciences
类目[WOS]Physics, Multidisciplinary ; Physics, Mathematical
研究领域[WOS]Physics
关键词[WOS]JAHN-TELLER
收录类别SCI
语种英语
WOS记录号WOS:000329754200013
公开日期2015-07-14
内容类型期刊论文
源URL[http://ir.wipm.ac.cn/handle/112942/1438]  
专题武汉物理与数学研究所_理论与交叉研究部
作者单位1.Sun Yat Sen Univ, Sch Phys & Engn, State Key Lab Optoelect Mat & Technol, Guangzhou 510275, Guangdong, Peoples R China
2.Jishou Univ, Dept Phys, Jishou 416000, Peoples R China
3.Hainan Normal Univ, Sch Phys & Elect Engn, Haikou 571158, Peoples R China
4.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Peoples R China
5.Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia
6.Chongqing Univ, Ctr Modern Phys, Chongqing 400044, Peoples R China
7.Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia
推荐引用方式
GB/T 7714
Zhong, Honghua,Xie, Qiongtao,Guan, Xiwen,et al. Analytical energy spectrum for hybrid mechanical systems[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2014,47(4).
APA Zhong, Honghua,Xie, Qiongtao,Guan, Xiwen,Batchelor, Murray T.,Gao, Kelin,&Lee, Chaohong.(2014).Analytical energy spectrum for hybrid mechanical systems.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,47(4).
MLA Zhong, Honghua,et al."Analytical energy spectrum for hybrid mechanical systems".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 47.4(2014).
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