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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

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

The Mach-Zehnder interferometric setup quantitatively characterizing the wave-particle duality implements in fact a joint measurement of two unsharp observables. We present a necessary and sufficient condition for such a pair of unsharp…

Quantum Physics · Physics 2009-05-12 Nai-Le Liu , Li Li , Sixia Yu , Zeng-Bing Chen

We study the fringe visibility and the distinguishability of a general Mach-Zehnder interferometer with an asymmetric beam splitter. Both the fringe visibility V and the distinguishability D are affected by the input state of the particle…

Quantum Physics · Physics 2019-03-27 Yanjun Liu , Jing Lu , Zhihui Peng , Lan Zhou , Dongning Zheng

A coherent account of the connections and contrasts between the principles of com- plementarity and uncertainty is developed starting from a survey of the various formalizations of these principles. The conceptual analysis is illustrated by…

Quantum Physics · Physics 2007-05-23 Paul Busch , Christopher R. Shilladay

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…

Quantum Physics · Physics 2026-04-22 Shiyu Wang , Zhiguang Yan , Clemens Gneiting , Rui Li , Franco Nori , Yasunobu Nakamura

Which-path information of a quantum particle in interferometers is the key to infer the past of quantum particle. It arises many extensive discussions including quantum complementarity and path-visibility relation. The basic of these…

Quantum Physics · Physics 2022-08-31 Jinxian Guo , Qizhang Yuan , Yuan Wu , Weiping Zhang

To test the principle of complementarity and wave-particle duality quantitatively, we need a quantum composite system that can be controlled by experimental parameters. Here, we demonstrate that a double-path interferometer consisting of…

Quantum Physics · Physics 2021-04-19 Tai Hyun Yoon , Minhaeng Cho

According to Bohr's complementarity principle, a particle possesses wave-like properties only when the different paths the particle may take are indistinguishable. In a canonical example of a two-path interferometer with a which-path…

Mesoscale and Nanoscale Physics · Physics 2008-06-17 Dong-In Chang , Gyong Luck Khym , Kicheon Kang , Yunchul Chung , Hu-Jong Lee , Minky Seo , Moty Heiblum , Diana Mahalu , Vladimir Umansky

Complementarity lies at the heart of conceptual foundation of orthodox quantum mechanics. The wave-particle duality makes it impossible to tell which slit each particle passes through and still observe an interference pattern in a Young's…

Quantum Physics · Physics 2007-05-23 Zhi-Yuan Li

We present a detailed investigation of the coherence properties of beam splitters and Mach-Zehnder interferometers for guided atoms. It is demonstrated that such a setup permits coherent wave packet splitting and leads to the appearance of…

Soft Condensed Matter · Physics 2009-11-10 H. Kreutzmann , U. V. Poulsen , M. Lewenstein , R. Dumke , W. Ertmer , G. Birkl , A. Sanpera

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…

Quantum Physics · Physics 2011-03-15 Berthold-Georg Englert , Dagomir Kaszlikowski , Leong Chuan Kwek , Wei Hui Chee

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…

Quantum Physics · Physics 2015-06-05 G. M. Bosyk , M. Portesi , F. Holik , A. Plastino

Mach-Zehnder interferometer is a common device in quantum phase estimation and the photon losses in it are an important issue for achieving a high phase accuracy. Here we thoroughly discuss the precision limit of the phase in the…

Quantum Physics · Physics 2023-03-20 Xu Yu , Xiang Zhao , Luyi Shen , Yanyan Shao , Jing Liu , Xiaoguang Wang

Wave-particle duality of photons with losses in the Mach-Zehnder interferometer (MZI) is investigated experimentally and theoretically. The experiment is done with the standard MZI with the beam splitter or the beam merger being…

Quantum Physics · Physics 2014-02-10 Chen Yang , Aiai Jia , Xue Deng , Yuchi Zhang , Gang Li , Shiyao Zhu , Tiancai Zhang

When a photon is detected after passing through an interferometer one might wonder which path it took, and a meaningful answer can only be given if one has the means of monitoring the photon's whereabouts. We report the realization of a…

Quantum Physics · Physics 2018-08-09 Yink Loong Len , Jibo Dai , Berthold-Georg Englert , Leonid A. Krivitsky

We discuss complementarity and uncertainty in a gedanken Which-Way (Welcher-Weg) experiment in a Mach-Zehnder interferometer. Although a Welcher-Weg measurement can be performed with only a negligible amount of momentum change in the…

Quantum Physics · Physics 2007-05-23 D. Ludwin , Y. Ben-Aryeh , A. Mann

We find a phase matching condition for enhancement of sensitivity in a Mach-Zehnder interferometer illuminated by an arbitrary state in one input port and an odd(even) state in the other port. Under this condition, the Fisher information…

Quantum Physics · Physics 2013-10-17 Jing Liu , Xiaoxing Jing , Xiaoguang Wang

A recent experiment performed by S. S. Afshar et al. has been interpreted as a violation of Bohr's complementarity principle between interference visibility and which-path information in a two-path interferometer. We have reproduced this…

Quantum Physics · Physics 2009-11-13 V. Jacques , N. D. Lai , A. Dreau , D. Zheng , D. Chauvat , F. Treussart , P. Grangier , J-F Roch

Using spontaneous parametric down conversion and a 50:50 beam splitter, we generate coaxial polarization-entangled photon pairs, of which the two photons are far separated from each other. The photons are then sent one by one through one…

Quantum Physics · Physics 2010-05-06 Xian-Min Jin , Cheng-Zhi Peng , Tao Yang , Youjin Deng
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