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Wave-particle duality is a typical example of Bohr's complementarity principle that plays a significant role in quantum mechanics. Previous studies used the visibility of an interference pattern to quantify the wave property and used path…

Quantum Physics · Physics 2018-03-14 Yuan Yuan , Zhibo Hou , Yuan-Yuan Zhao , Han-Sen Zhong , Guo-Yong Xiang , Chuan-Feng Li , Guang-Can Guo

We derive a generalized wave-particle duality relation for arbitrary multipath quantum interference phenomena. Beyond the conventional notion of the wave nature of a quantum system, i.e., the interference fringe visibility, we introduce a…

Quantum Physics · Physics 2015-07-23 Manabendra Nath Bera , Tabish Qureshi , Mohd Asad Siddiqui , Arun Kumar Pati

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…

Quantum Physics · Physics 2026-05-26 Naofumi Abe , Keiichi Edamatsu

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…

Quantum Physics · Physics 2025-05-08 Zhaofang Bai , ShuanpingDu

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

Quantum coherence stemming from the superposition behaviour of a particle beyond the classical realm, serves as one of the most fundamental features in quantum mechanics. The wave-particle duality phenomenon, which shares the same origin,…

A quantum system (quanton) traverses an interferometer with $N$ equally probable paths and interacts with another quantum system (detector) that stores path information in a set of symmetric states. In this interferometric framework, we…

Quantum Physics · Physics 2026-01-21 L. F. Melo , O. Jiménez , L. Neves

Wave-particle duality in multi-path interference is fraught with issues despite substantial progress in recent years. It was experimentally shown that in certain specific conditions, getting path information in a multi-path experiment can…

Quantum Physics · Physics 2019-10-11 Tabish Qureshi

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

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

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

Quantum interferometry based on induced-coherence phenomena has demonstrated the possibility of undetected-photon measurements. Perturbation in the optical path of probe photons can be detected by interference signals generated by quantum…

Quantum Physics · Physics 2023-09-14 Eun Mi Kim , Sun Kyung Lee , Sang Min Lee , Myeong Soo Kang , Hee Su Park

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…

Quantum Physics · Physics 2024-03-05 Shan Huang , Wen-Bo Liu , Yundu Zhao , Hua-Lei Yin , Zeng-Bing Chen , Shengjun Wu

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…

Quantum Physics · Physics 2015-06-22 Zhi-Yuan Li

The effect known as ``induced coherence without induced emission'' has spawned a field dedicated to imaging with undetected photons (IUP), where photons from two distinct photon-pair sources interfere if their outputs are made…

Wave-particle duality and the superposition of quantum mechanical states furnish quantum mechanics with unique features which distinguishes it from classical mechanics and give it the apparently counter-intuition interpretation. The two…

Quantum Physics · Physics 2020-06-15 Abanoub Mikhail

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…

Quantum Physics · Physics 2024-11-13 Kang-Kang Yang , Zhi-Xi Wang , Shao-Ming Fei

Wave-particle duality, a fundamental principle of quantum mechanics, encapsulates the complementary relationship between the wave and particle behaviors of quantum systems. In this paper, we treat quantum coherence and classical…

Quantum Physics · Physics 2025-08-05 Zhiping Liu , Chengkai Zhu , Hua-Lei Yin , Xin Wang

An interference experiment with entangled particles is theoretically analyzed, where one of the entangled pair (particle 1) goes through a multi-slit before being detected at a fixed detector. In addition, one introduces a mechanism for…

Quantum Physics · Physics 2019-02-15 Misba Afrin , Tabish Qureshi

Complementarity, the incomplete nature of a quantum measurement - a core concept in quantum mechanics - stems from the choice of the measurement apparatus. The notion of complementarity is closely related to Heisenberg's uncertainty…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 E. Weisz , H. K. Choi , I. Sivan , M. Heiblum , Y. Gefen , D. Mahalu , V. Umansky
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