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Quantum physics, which describes the strange behavior of light and matter at the smallest scales, is one of the most successful descriptions of reality, yet it is notoriously inaccessible. Here we provide an approachable explanation of…

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…

An explanation for superluminal phenomena based on wave-particle duality of photons is suggested. A single photon may be regarded as a wave packet, whose spatial extension is its coherence volume. As a photon propagates as a wave train in…

Quantum Physics · Physics 2024-03-15 Hai-Long Zhao

Since pioneering works of Hanbury-Brown and Twiss, intensity-intensity correlations have been widely used in astronomical systems, for example to detect binary stars. They reveal statistics effects and two-particle interference, and offer a…

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…

Quantum Physics · Physics 2009-04-27 K. -P. Marzlin , B. C. Sanders , P. L. Knight

Effects associated in quantum mechanics with a divisible probability wave are explained as physically real consequences of the equal but opposite reaction of the apparatus as a particle is measured. Taking as illustration a Mach-Zehnder…

Quantum Physics · Physics 2019-04-05 Daniel Shanahan

The 'collapse' of the wave function in a general measuring process is analyzed by a pure quantum mechanical (QM) approach. The problem of the delayed choice and Welcher-Weg (WW) experiments is analyzed for Mach-Zehnder (MZ) interferometer.…

Quantum Physics · Physics 2012-01-27 Y. Ben-Aryeh

This article presents an experiment that can be conducted today and that could provide a deeper understanding of the interaction between the wave and particle aspects of an atom. The wave-particle duality is often presented as mutually…

Atomic Physics · Physics 2026-05-13 Michel Gondran , Alexandre Gondran

In 1924 Louis de Broglie introduced the concept of wave-particle duality: the Planck constant $h$ relates the momentum $p$ of a massive particle to its de Broglie wavelength $\lambda=h/p$. The superposition principle is one of the main…

Quantum Physics · Physics 2018-08-29 A. Ariga , A. Ereditato , R. Ferragut , M. Giammarchi , M. Leone , C. Pistillo , S. Sala , P. Scampoli

Wave particle duality remains a central interpretational challenge in quantum theory. In this work, we develop a trajectory-based description of photon dynamics formulated in an extended complex space within the relativistic quantum…

Quantum Physics · Physics 2026-01-30 Shiang-Yi Han , Ciann-Dong Yang

Light displays particle and wave properties within the bounds of the inequality, K^2+V^2<=1, where K represents particle information and V represents corresponding wave information. Using two laser beams that cross and then diverge from…

Quantum Physics · Physics 2018-03-14 Eduardo V. Flores , Jeffrey Scaturro

We report an experimental test of complementarity using clock-triggered single-photon pulses emitted by an individual N-V color center in a diamond nanocrystal. The single photons are sent into a Mach-Zehnder interferometer with an output…

The wave-particle duality, as one of the expressions of Bohr complementarity, is usually quantified by path predictability and the visibility of interference fringes. With the development of quantum resource theory, the quantitative…

Quantum Physics · Physics 2024-01-10 Y. T. Tsui , Sunho Kim

It was shown recently that entanglement of identical particles has a feature called dualism [Phys. Rev. Lett. 110, 140404 (2013)], which is fundamentally connected with quantum indistinguishability. Here we report an experiment that…

Quantum Physics · Physics 2016-11-18 J. -J. Ma , X. -X. Yuan , C. Zu , X. -Y. Chang , P. -Y. Hou , L. -M. Duan

Complementarity constitutes a central aspect of quantum theory. It manifests itself, for example, in a two-way interferometer, where the simultaneous observation of an interference pattern and the acquisition of which-way information are…

Quantum Physics · Physics 2025-10-21 Elisabeth Meusert , Uwe Schilling , Marc-Oliver Pleinert , Joachim von Zanthier

The wave-particle duality of massive objects is a cornerstone of quantum physics and a key property of many modern tools such as electron microscopy, neutron diffraction or atom interferometry. Here we report on the first experimental…

Wave--particle duality is a cornerstone of quantum mechanics, traditionally formulated under definite causal order. We investigate how complementarity is modified when the temporal order of operations is coherently superposed, as in the…

Quantum Physics · Physics 2026-03-31 Mohd Asad Siddiqui , Md Qutubuddin , Tabish Qureshi

In quantum physics we are confronted with new entities which consist indivisible of an energy packet and a coupled wave. The complementarity principle for certain properties of these quantum objects may be their main mystery. Photons are…

Quantum Physics · Physics 2016-10-03 Ralf Menzel

Indistinguishability in quantum mechanics is an essential concept to understanding mysterious quantum features such as self-interference of a single photon and two-photon nonlocal correlation. Delayed-choice experiments are for the…

Quantum Physics · Physics 2022-02-24 Byoung S. Ham

The concept of wave-particle duality, which is a key element of quantum theory, has been remarkably found to manifest itself in several experimental realizations as in the famous double-slit experiment. In this specific case, a single…

Quantum Physics · Physics 2017-01-09 Bertúlio de Lima Bernardo , Askery Canabarro , Sérgio Azevedo