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One of the milestones of quantum mechanics is Bohr's complementarity principle. It states that a single quantum can exhibit a particle-like \emph{or} a wave-like behaviour, but never both at the same time. These are mutually exclusive and…

Quantum Physics · Physics 2015-06-03 R. Auccaise , R. M. Serra , J. G. Filgueiras , R. S. Sarthour , I. S. Oliveira , L. C. Céleri

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

Bohr's complementarity principle is of fundamental historic and conceptual importance for Quantum Mechanics (QM), and states that, with a given experimental apparatus configuration, one can observe either the wave-like or the particle-like…

Quantum Physics · Physics 2021-02-18 Mauro B. Pozzobom , Marcos L. W. Basso , Jonas Maziero

Bohr's Complementarity Principle is a core concept of quantum mechanics. In this article, an updated complementarity relation for the wave and ondulatory aspects of a quantum system is presented and discussed. Two interferometric…

Quantum Physics · Physics 2026-01-27 Celia Álvarez Álvarez , Mariamo Mussa Juane

Interference results when a quantum particle is free to choose among a few indistinguishable paths. A canonical example of Bohr's complementarity principle [1] is a two-path interferometer with an external detector coupled to one of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Sprinzak , E. Buks , M. Heiblum , H. Shtrikman

Bohr's complementarity principle has long been a fundamental concept in quantum mechanics, positing that, within a given experimental setup, a quantum system (or quanton) can exhibit either its wave-like character, denoted as $W$, or its…

Quantum Physics · Physics 2024-12-24 Diego S. Starke , Marcos L. W. Basso , Jonas Maziero

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

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

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

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

Some recent works have introduced a quantum twist to the concept of complementarity, exemplified by a setup in which the which-way detector is in a superposition of being present and absent. It has been argued that such experiments allow…

Quantum Physics · Physics 2013-04-03 Tabish Qureshi

Recently, Bohr's complementarity principle was assessed in setups involving delayed choices. These works argued in favor of a reformulation of the aforementioned principle so as to account for situations in which a quantum system would…

Quantum Physics · Physics 2015-10-06 R. M. Angelo , A. D. Ribeiro

I argue that quantum optical experiments that purport to refute Bohr's principle of complementarity (BPC) fail in their aim. Some of these experiments try to refute complementarity by refuting the so called particle-wave duality relations,…

Quantum Physics · Physics 2017-11-10 P. N. Kaloyerou

Bohr's complementarity principle has been challenged by quantum delayed-choice experiments wherein quantum systems are claimed to behave neither as wave nor as a particle, but in an intermediary way. However, this conclusion has been…

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,…

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 show that controlled interference of a particle's wavefunction can be used to perform a quantum mechanical measurement in an incomplete basis. This happens because the measurement projects the particle into a lower dimensional subspace…

Quantum Physics · Physics 2007-05-23 R. Srikanth

Wave-particle duality is one of the most striking and counter-intuitive features of quantum mechanics, illustrating that two incompatible observables cannot be measured simultaneously with arbitrary precision. In this work, we…

Some modified two-slit interference experiments claim to demonstrate a violation of Bohr's complementarity principle. A typical such experiment is theoretically analyzed using wave-packet dynamics. The flaw in the analysis of such…

Quantum Physics · Physics 2012-06-25 Tabish Qureshi

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
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