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We analyze an interferometric complementarity between one- and two-particle interference in the general case: $V_{i}^{2}+V_{12}^{2}\leq 1$ $(i=1$, $2)$, and further examine the relation among one-particle interference visibility $V_{i}$,…

量子物理 · 物理学 2007-05-23 Xinhua Peng , Xiwen Zhu , Maili Liu , Kelin Gao

In a recent paper [Phys. Rev. {\bf A64}, 042113 (2001)] S. D\"urr proposed an interesting multibeam generalization of the quantitative formulation of interferometric wave-particle duality, discovered by Englert for two-beam interferometers.…

量子物理 · 物理学 2009-11-10 G. Bimonte , R. Musto

The complementarity relation between the visibility and the spectral distinguishability of frequency-displaced photonic wave-packets in a Hong-Ou-Mandel interferometer is studied. An experimental definition of $K$, the distinguishability…

Photons in a two-path interferometer best embody wave-particle duality (WPD), which is a core concept of quantum theory. So far, the WPD relation is commonly written as $V^2+D^2 \leq 1$, where $V$ is the interference fringe visibility and…

量子物理 · 物理学 2026-05-26 Naofumi Abe , Keiichi Edamatsu

Bohr's principle of complementarity, in the context of a two-slit interference experiment, is understood as the quantitative measures of wave and particle natures following a duality relation ${\mathcal D}^2+{\mathcal V}^2 \le 1$. Here…

量子物理 · 物理学 2017-09-08 Tabish Qureshi , Mohd Asad Siddiqui

The notion of wave-particle duality may be quantified by the inequality V^2+K^2 <=1, relating interference fringe visibility V and path knowledge K. With a single-photon interferometer in which polarization is used to label the paths, we…

量子物理 · 物理学 2009-10-31 Peter D. D. Schwindt , Paul G. Kwiat , Berthold-Georg Englert

We establish a rigorous quantitative connection between (i) the interferometric duality relation for which-way information and fringe visibility and (ii) Heisenberg's uncertainty relation for position and modular momentum. We apply our…

量子物理 · 物理学 2009-04-27 K. -P. Marzlin , B. C. Sanders , P. L. Knight

Wave--particle duality demonstrates the peculiar nature of quantum mechanics. In which-way experiments, depending on the measurement scheme, a particle exhibits either wave-like or particle-like properties, as summarized by Bohr's principle…

量子物理 · 物理学 2026-04-22 Shiyu Wang , Zhiguang Yan , Clemens Gneiting , Rui Li , Franco Nori , Yasunobu Nakamura

The concept of wave-particle duality holds significant importance in the field of quantum mechanics, as it elucidates the dual nature encompassing both wave-like and particle-like properties exhibited by microscopic particles. In this…

量子物理 · 物理学 2024-11-13 Kang-Kang Yang , Zhi-Xi Wang , Shao-Ming Fei

Interferometric complementarity is known to be one of the most nonclassical manifestations of the quantum formalism. It is commonly known as wave-particle duality and has been studied presently from the perspective of quantum information…

量子物理 · 物理学 2020-04-13 Gautam Sharma , Mohd Asad Siddiqui , Shiladitya Mal , Sk Sazim , Aditi Sen De

Wave-particle duality as one of the expression of Bohr complementarity is a significant concept in the field of quantum mechanics. Quantitative analysis of wave-particle duality aims to establish a complementary relation between the…

量子物理 · 物理学 2025-05-08 Zhaofang Bai , ShuanpingDu

Wave-particle duality and complementarity principle stand at the conceptual core of quantum theory in its orthodox Copenhagen interpretation. They imply that the wave behavior and particle behavior of quantum objects are mutually exclusive…

量子物理 · 物理学 2015-06-22 Zhi-Yuan Li

One of the most remarkable features of quantum physics is that attributes of quantum objects, such as the wave-like and particle-like behaviors of single photons, can be complementary in the sense that they are equally real but cannot be…

量子物理 · 物理学 2024-03-05 Shan Huang , Wen-Bo Liu , Yundu Zhao , Hua-Lei Yin , Zeng-Bing Chen , Shengjun Wu

One of the most puzzling consequences of interpreting quantum mechanics in terms of concepts borrowed from classical physics, is the so-called wave-particle duality. Usually, wave-particle duality is illustrated in terms of complementarity…

量子物理 · 物理学 2023-10-18 Andrea Aiello

We revisit, in the framework of Mach-Zehnder interferometry, the connection between the complementarity and uncertainty principles of quantum mechanics. Specifically, we show that, for a pair of suitably chosen observables, the trade-off…

量子物理 · 物理学 2015-06-05 G. M. Bosyk , M. Portesi , F. Holik , A. Plastino

Since the uncertainty about an observable of a system prepared in a quantum state is usually described by its variance, when the state is mixed, the variance is a hybrid of quantum and classical uncertainties. Besides that, complementarity…

量子物理 · 物理学 2021-06-07 Marcos L. W. Basso , Jonas Maziero

For two-path interferometers, the which-path predictability $\mathcal{P}$ and the fringe visibility $\mathcal{V}$ are familiar quantities that are much used to talk about wave-particle duality in a quantitative way. We discuss several…

量子物理 · 物理学 2011-03-15 Berthold-Georg Englert , Dagomir Kaszlikowski , Leong Chuan Kwek , Wei Hui Chee

The wave-particle duality demonstrates a competition relation between wave and particle behavior for a particle going through an interferometer. This duality can be formulated as an inequality, which upper bounds the sum of interference…

量子物理 · 物理学 2018-01-31 Kaifeng Bu , Lu Li , Junde Wu , Shao-Ming Fei

In quantum information and communication one looks for the non-classical features like interference and quantum correlations to harness the true power of composite systems. We show how the concept akin to interference is, in fact,…

量子物理 · 物理学 2015-08-11 Lin Zhang , Arun Kumar Pati , Junde Wu

We derive different relations quantifying duality in a generic two-way interferometer. These relations set different upper bounds to the visibility V of the fringes measured at the output port of the interferometer. A hierarchy of…

量子物理 · 物理学 2007-06-28 Jesus Martinez-Linares
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