ITP OpenIR  > 理论物理所2017年知识产出
Exact solution of the two-axis countertwisting Hamiltonian
Pan, F; Zhang, YZ; Draayer, JP; Zhang, YZ (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
2017
发表期刊ANNALS OF PHYSICS
卷号376页码:182-193
文章类型Article
摘要It is shown that the two-axis countertwisting Hamiltonian is exactly solvable when the quantum number of the total angular momentum of the system is an integer after the Jordan-Schwinger (differential) boson realization of the SU(2) algebra. Algebraic Bethe ansatz is used to get the exact solution with the help of the SU(1,1) algebraic structure, from which a set of Bethe ansatz equations of the problem is derived. It is shown that solutions of the Bethe ansatz equations can be obtained as zeros of the Heine Stieltjes polynomials. The total number of the four sets of the zeros equals exactly 2J + 1 for a given integer angular momentum quantum number J, which proves the completeness of the solutions. It is also shown that double degeneracy in level energies may also occur in the J -> infinity limit for integer J case except a unique non-degenerate level with zero excitation energy. (C) 2016 Elsevier Inc. All rights reserved.
关键词Exactly Solvable Models Two-axis Countertwisting Interactions Bethe Ansatz
学科领域Physics
资助者US National Science Foundation [OCI-0904874, ACI-1516338] ; US National Science Foundation [OCI-0904874, ACI-1516338] ; US Department of Energy [DE-SC0005248] ; US Department of Energy [DE-SC0005248] ; Southeastern Universities Research Association ; Southeastern Universities Research Association ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; National Natural Science Foundation of China [11375080, 11675071] ; National Natural Science Foundation of China [11375080, 11675071] ; Australian Research Council [DP140101492] ; Australian Research Council [DP140101492] ; LSU-LNNU joint research program [9961] ; LSU-LNNU joint research program [9961] ; US National Science Foundation [OCI-0904874, ACI-1516338] ; US National Science Foundation [OCI-0904874, ACI-1516338] ; US Department of Energy [DE-SC0005248] ; US Department of Energy [DE-SC0005248] ; Southeastern Universities Research Association ; Southeastern Universities Research Association ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; National Natural Science Foundation of China [11375080, 11675071] ; National Natural Science Foundation of China [11375080, 11675071] ; Australian Research Council [DP140101492] ; Australian Research Council [DP140101492] ; LSU-LNNU joint research program [9961] ; LSU-LNNU joint research program [9961]
DOIhttp://dx.doi.org/10.1016/j.aop.2016.11.019
关键词[WOS]SPIN STATES ; LMG MODEL ; ENTANGLEMENT ; INFORMATION ; SYSTEMS
语种英语
资助者US National Science Foundation [OCI-0904874, ACI-1516338] ; US National Science Foundation [OCI-0904874, ACI-1516338] ; US Department of Energy [DE-SC0005248] ; US Department of Energy [DE-SC0005248] ; Southeastern Universities Research Association ; Southeastern Universities Research Association ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; National Natural Science Foundation of China [11375080, 11675071] ; National Natural Science Foundation of China [11375080, 11675071] ; Australian Research Council [DP140101492] ; Australian Research Council [DP140101492] ; LSU-LNNU joint research program [9961] ; LSU-LNNU joint research program [9961] ; US National Science Foundation [OCI-0904874, ACI-1516338] ; US National Science Foundation [OCI-0904874, ACI-1516338] ; US Department of Energy [DE-SC0005248] ; US Department of Energy [DE-SC0005248] ; Southeastern Universities Research Association ; Southeastern Universities Research Association ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; National Natural Science Foundation of China [11375080, 11675071] ; National Natural Science Foundation of China [11375080, 11675071] ; Australian Research Council [DP140101492] ; Australian Research Council [DP140101492] ; LSU-LNNU joint research program [9961] ; LSU-LNNU joint research program [9961]
WOS类目Physics, Multidisciplinary
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22167
专题理论物理所2017年知识产出
通讯作者Zhang, YZ (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
推荐引用方式
GB/T 7714
Pan, F,Zhang, YZ,Draayer, JP,et al. Exact solution of the two-axis countertwisting Hamiltonian[J]. ANNALS OF PHYSICS,2017,376:182-193.
APA Pan, F,Zhang, YZ,Draayer, JP,&Zhang, YZ .(2017).Exact solution of the two-axis countertwisting Hamiltonian.ANNALS OF PHYSICS,376,182-193.
MLA Pan, F,et al."Exact solution of the two-axis countertwisting Hamiltonian".ANNALS OF PHYSICS 376(2017):182-193.
条目包含的文件
文件名称/大小 文献类型 版本类型 开放类型 使用许可
Exact solution of th(396KB) 开放获取--请求全文
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Pan, F]的文章
[Zhang, YZ]的文章
[Draayer, JP]的文章
百度学术
百度学术中相似的文章
[Pan, F]的文章
[Zhang, YZ]的文章
[Draayer, JP]的文章
必应学术
必应学术中相似的文章
[Pan, F]的文章
[Zhang, YZ]的文章
[Draayer, JP]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。