Spin nonclassicality via variance
文献类型：期刊论文
| 作者 | Zhang, Yue3,4; Luo, Shunlong1,2
|
| 刊名 | THEORETICAL AND MATHEMATICAL PHYSICS
 |
| 出版日期 | 2021-07-01 |
| 卷号 | 208期号:1页码:916-925 |
| 关键词 | spin nonclassicality spin coherent states variance convexity resolution of identity |
| ISSN号 | 0040-5779 |
| DOI | 10.1134/S0040577921070060 |
| 英文摘要 | Although variance, as one of the most fundamental and ubiquitous quantities in quantifying uncertainty, has been widely used in both classical and quantum physics, there are still new applications awaiting exploration. In this work, by interchanging the roles of the state variable and the observable variable, i.e., by formally regarding any state as an observable (which is rational because any state is a priori a Hermitian operator ) and considering the average variance of this state (now in the position of an observable ) in all spin coherent states, we introduce a quantifier of spin nonclassicality with respect to a resolution of identity induced by spin coherent states. This quantifier is easy to compute and it admits various operational interpretations, such as the purity deficit, the Tsallis 2-entropy deficit, and the squared norm deficit between the Wigner function and the Husimi function. We reveal several intuitive properties of this quantifier, connect it to the phase-space distribution uncertainty, and illustrate it with some prototypical examples. Various extensions are further indicated. |
| 资助项目 | National Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[61833010] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000673296600006 |
| 出版者 | MAIK NAUKA/INTERPERIODICA/SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58938]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, Shunlong |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Peking Univ, Frontiers Sci Ctr Nanooptoelect, Sch Phys, State Key Lab Mesoscop Phys, Beijing, Peoples R China 4.Beijing Acad Quantum Informat Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Yue,Luo, Shunlong. Spin nonclassicality via variance[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2021,208(1):916-925. |
| APA | Zhang, Yue,&Luo, Shunlong.(2021).Spin nonclassicality via variance.THEORETICAL AND MATHEMATICAL PHYSICS,208(1),916-925. |
| MLA | Zhang, Yue,et al."Spin nonclassicality via variance".THEORETICAL AND MATHEMATICAL PHYSICS 208.1(2021):916-925. |
入库方式： OAI收割
来源：数学与系统科学研究院
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