From wave-particle duality to wave-particle-mixedness triality: an uncertainty approach

doi:10.1088/1572-9494/ac53a2

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	From wave-particle duality to wave-particle-mixedness triality: an uncertainty approach
	Fu, Shuangshuang 1; Luo, Shunlong2,3
	2022-03-01
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	74 期号:3 页码:9
摘要	The wave-particle duality, as a manifestation of Bohr's complementarity, is usually quantified in terms of path predictability and interference visibility. Various characterizations of the wave-particle duality have been proposed from an operational perspective, most of them are in forms of inequalities, and some of them are expressed in forms of equalities by incorporating entanglement or coherence. In this work, we shed different insights into the nature of the wave-particle duality by casting it into a form of information conservation in a multi-path interferometer, with uncertainty as a unified theme. More specifically, by employing the simple yet fundamental concept of variance, we establish a resolution of unity, which can be interpreted as a complementarity relation among wave feature, particle feature, and mixedness of a quantum state. This refines or reinterprets some conventional approaches to wave-particle duality, and highlights informational aspects of the issue. The key idea of our approach lies in that a quantum state, as a Hermitian operator, can also be naturally regarded as an observable, with measurement uncertainty (in a state) and state uncertainty (in a measurement) being exploited to quantify particle feature and wave feature of a quantum state, respectively. These two kinds of uncertainties, although both are defined via variance, have fundamentally different properties and capture different features of a state. Together with the mixedness, which is a kind of uncertainty intrinsic to a quantum state, they add up to unity, and thus lead to a characterization of the wave-particle-mixedness complementarity. This triality relation is further illustrated by examples and compared with some popular wave-particle duality or triality relations.
关键词	wave-particle duality complementarity mixedness uncertainty triality
DOI	10.1088/1572-9494/ac53a2
收录类别	SCI
语种	英语
资助项目	National Key R&D Program of China[2020YFA0712700] ; Fundamental Research Funds for the Central Universities[FRF-TP-19-012A3] ; National Natural Science Foundation of China[11 875 317] ; National Natural Science Foundation of China[61 833 010]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000762496000001
出版者	IOP Publishing Ltd
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60012
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Fu, Shuangshuang,Luo, Shunlong. From wave-particle duality to wave-particle-mixedness triality: an uncertainty approach[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2022,74(3):9.
APA	Fu, Shuangshuang,&Luo, Shunlong.(2022).From wave-particle duality to wave-particle-mixedness triality: an uncertainty approach.COMMUNICATIONS IN THEORETICAL PHYSICS,74(3),9.
MLA	Fu, Shuangshuang,et al."From wave-particle duality to wave-particle-mixedness triality: an uncertainty approach".COMMUNICATIONS IN THEORETICAL PHYSICS 74.3(2022):9.