Exact quantum dynamics of XXZ central spin problems
文献类型：期刊论文
| 作者 | He, Wen-Bin2,3; Chesi, Stefano4,5; Lin, Hai-Qing4,5; Guan, Xi-Wen1,2,6 |
| 刊名 | PHYSICAL REVIEW B
 |
| 出版日期 | 2019-05-20 |
| 卷号 | 99期号:17页码:6 |
| ISSN号 | 2469-9950 |
| DOI | 10.1103/PhysRevB.99.174308 |
| 英文摘要 | We obtain analytically close forms of benchmark quantum dynamics of the collapse and revival (CR), the reduced density matrix, Von Neumann entropy, and fidelity for the XXZ central spin problem. These quantities characterize the quantum decoherence and entanglement of the system with any number of bath spins, and for a short to infinitely long time evolution. For the homogeneous central spin problem, the effective magnetic field B, coupling constant A, and longitudinal interaction Delta significantly influence the time scales of the quantum dynamics of the central spin and the bath, providing a tunable resource for quantum metrology. Under the resonance condition B = Delta = A, the location of the mth revival peak in time reaches a simple relation t(r) similar or equal to pi N/A m for a large N. For Delta = 0, N -> infinity, and a small polarization in the initial spin coherent state, our analytical result for the CR recovers the known expression found in the Jaynes-Cummings model, thus building up an exact dynamical connection between the central spin problems and the light-matter interacting systems in quantum nonlinear optics. In addition, the CR dynamics is robust to a moderate inhomogeneity of the coupling amplitudes while disappearing at strong inhomogeneity. |
| WOS关键词 | CUMMINGS MODEL ; COLLAPSE ; REVIVAL ; COLLOQUIUM |
| 资助项目 | National Key R&D Program of China[2017YFA0304500] ; National Key R&D Program of China[2016YFA0301200] ; key NSFC Grant[11534014] ; NSFC[11874393] ; NSFC[11574025] ; NSFC[11750110428] ; NSFC[1171101295] ; NSAF[U1530401] |
| WOS研究方向 | Materials Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000469051100006 |
| 出版者 | AMER PHYSICAL SOC |
| 资助机构 | National Key R&D Program of China ; National Key R&D Program of China ; key NSFC Grant ; key NSFC Grant ; NSFC ; NSFC ; NSAF ; NSAF ; National Key R&D Program of China ; National Key R&D Program of China ; key NSFC Grant ; key NSFC Grant ; NSFC ; NSFC ; NSAF ; NSAF ; National Key R&D Program of China ; National Key R&D Program of China ; key NSFC Grant ; key NSFC Grant ; NSFC ; NSFC ; NSAF ; NSAF ; National Key R&D Program of China ; National Key R&D Program of China ; key NSFC Grant ; key NSFC Grant ; NSFC ; NSFC ; NSAF ; NSAF |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/14435]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Chesi, Stefano |
| 作者单位 | 1.Chinese Acad Sci, Ctr Cold Atom Phys, Wuhan 430071, Hubei, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Hubei, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China 5.Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China 6.Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia |
| 推荐引用方式 GB/T 7714 | He, Wen-Bin,Chesi, Stefano,Lin, Hai-Qing,et al. Exact quantum dynamics of XXZ central spin problems[J]. PHYSICAL REVIEW B,2019,99(17):6. |
| APA | He, Wen-Bin,Chesi, Stefano,Lin, Hai-Qing,&Guan, Xi-Wen.(2019).Exact quantum dynamics of XXZ central spin problems.PHYSICAL REVIEW B,99(17),6. |
| MLA | He, Wen-Bin,et al."Exact quantum dynamics of XXZ central spin problems".PHYSICAL REVIEW B 99.17(2019):6. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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