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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…

Quantum Physics · Physics 2023-10-18 Andrea Aiello

The quantitative formulation of Bohr's complementarity proposed by Greenberger and Yasin is applied to some physical situations for which analytical expressions are available. This includes a variety of conventional double-slit experiments,…

Quantum Physics · Physics 2009-11-10 A. Bramon , G. Garbarino , B. C. Hiesmayr

We investigate wave-particle duality in a symmetric two-way interferometer with a which-way detector. We find that it is important to state wether the interfering object or the which-way detector is read out first. In case that the…

Quantum Physics · Physics 2010-06-11 Uwe Schilling , Joachim von Zanthier

Bohr's principle of complementarity predicts that in a welcher weg ("which-way") experiment, obtaining fully visible interference pattern should lead to the destruction of the path knowledge. Here I report a failure for this prediction in…

Quantum Physics · Physics 2007-05-23 Shahriar S. Afshar

A typical application for laser interferometers is a precision measurement of length changes that result in interferometric phase shifts. Such phase changes are typically predicted numerically, due to the com- plexity of the overlap…

Optics · Physics 2014-06-06 Gudrun Wanner , Gerhard Heinzel

We comment on one of the earliest derivations of the so-called wave-particle duality relation. Our aim is to point out a slight technical flaw in the proof, fixing it. Neither the physical content of the duality relation nor its validity is…

Quantum Physics · Physics 2013-05-07 F. De Zela

We have experimentally demonstrated the interferometric complementarity, which relates the distinguishability $D$ quantifying the amount of which-way (WW) information to the fringe visibility $V$ characterizing the wave feature of a quantum…

Quantum Physics · Physics 2009-11-07 Xinhua Peng , Xiwen Zhu , Ximing Fang , Mang Feng , Maili Liu , Kelin Gao

We investigate quantitatively the wave-particle duality in a general Mach-Zehnder interferometer setup with an asymmetric beam splitter. The asymmetric beam splitter introduces additional a priori which-path knowledge, which is different…

Quantum Physics · Physics 2015-06-04 Li Li , Nai-Le Liu , Sixia Yu

It is well known that in classical optics, the visibility of interference, in a two-beam light interference, is related to the optical coherence of the two beams. A wave-particle duality relation can be derived using this mutual coherence.…

Quantum Physics · Physics 2020-06-05 Bibhash Paul , Sammi Kamal , Tabish Qureshi

Young's double slit experiment has often been used to illustrate the concept of complementarity in quantum mechanics. If information can in principle be obtained about the path of the photon, then the visibility of the interference fringes…

Quantum Physics · Physics 2025-07-29 Hanzhen Lin , Yu-Kun Lu , Vitaly Fedoseev , Yoo Kyung Lee , Jiahao Lyu , Wolfgang Ketterle

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…

Quantum Physics · Physics 2009-10-31 Peter D. D. Schwindt , Paul G. Kwiat , Berthold-Georg Englert

We study the wave-particle duality in a general Mach-Zehnder interferometer with an asymmetric beam splitter from the viewpoint of quantum information theory. The correlations(including the classical correlation and the quantum correlation)…

Quantum Physics · Physics 2022-11-09 Yanjun Liu , Meiya Wang , Zhongcheng Xiang , Haibin Wu

We probe the principle of complementarity by performing a double-slit experiment based on entangled photons created by spontaneous parametric down-conversion from a pump mode in a TEM01-mode. Our setup brings out the need for a careful…

Quantum Physics · Physics 2018-08-07 Ralf Menzel , Robert Marx , Dirk Puhlmann , Axel Heuer , Wolfgang P. Schleich

Shahriar S. Afshar claimed that his 2007 modified version of the double-slit experiment violates complementarity [1]. He makes two modifications to the standard double-slit experiment. First, he adds a wire grid that is placed in between…

Quantum Physics · Physics 2022-07-13 Bret Gergely , Herman Batelaan

A modified version of Young's experiment by Shahriar Afshar indirectly reveals the presence of a fully articulated interference pattern prior to the post-selection of a particle in a "which-slit" basis. While this experiment does not…

Quantum Physics · Physics 2015-05-13 R. E. Kastner

Optical interferometric imaging enables astronomical observation at extremely high angular resolution. The necessary optical information for imaging, such as the optical path differences and visibilities, is easy to extract from fringes…

Bohr's principle of complementarity lies at the central place of quantum mechanics, according to which the light is chosen to behave as a wave or particles, depending on some exclusive detecting devices. Later, intermediate cases are found,…

Quantum Physics · Physics 2013-08-09 Jian-Shun Tang , Yu-Long Li , Chuan-Feng Li , Guang-Can Guo

Wave-particle duality relations are fundamental for quantum physics. Previous experimental studies of duality relations mainly focus on the quadratic relation $D^2+V^2\leq1$, based on symmetric beam interference, while a linear form of the…

Quantum Physics · Physics 2022-09-07 Dong-Xu Chen , Yu Zhang , Jun-Long Zhao , Qi-Cheng Wu , Yu-Liang Fang , Chui-Ping Yang , Franco Nori

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…

Quantum Physics · Physics 2017-09-08 Tabish Qureshi , Mohd Asad Siddiqui

The complementarity relations impose the constraints on different aspects of quantum states. We study the complementarity relation within a multi-path interferometer that includes detectors and quantum memory. Here we consider the mixed…

Quantum Physics · Physics 2025-09-09 Yue Sun , Ming-Jing Zhao , Peng-Tong Li