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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

We present a conformally invariant generalized form of the free particle action by connecting the wave and particle aspects through gravity. Conformal invariance breaking is introduced by choosing a particular configurat$ of dynamical…

High Energy Physics - Theory · Physics 2009-10-31 Hossein Motavali , Hadi Salehi , Mehdi Golshani

Quantum theory reveals astonishing and counterintuitive phenomena not found in classical physics, such as wave-particle duality, where entities like electrons and photons exhibit both wave-like and particle-like behaviors. In this paper, we…

Quantum Physics · Physics 2024-07-03 Daegene Song

Wave-particle duality, an important and fundamental concept established upon pure quantum systems, is central to the complementarity principle in quantum mechanics. However, due to the environment effects or even the entanglement between…

Quantum Physics · Physics 2017-05-31 Xiangdong Zhang , Jiahao Huang , Min Zhuang , Xizhou Qin , Chaohong Lee

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 show a wave-particle duality of light and its complementary relation in the context of the intensity interference measured by intensity correlation measurement, especially for the case of the second-order intensity interference observed…

Quantum Physics · Physics 2022-12-13 Rikizo Ikuta

The quantum object is in general considered as displaying both wave and particle nature. By particle is understood an item localized in a very small volume of the space, and which cannot be simultaneously in two disjoint regions of the…

Quantum Physics · Physics 2019-10-15 Sofia D. Wechsler

We introduce a complete set of complementary quantities in bipartite, two-dimensional systems. Complementarity then relates the quantitative entanglement measure concurrence which is a bipartite property to the single-particle quantum…

Quantum Physics · Physics 2007-05-23 Matthias Jakob , Janos A. Bergou

Visibility $V$ and distinguishability $D$ quantify wave-ray duality: $V^2 + D^2 \le 1$. We join them to polarization $P$ via the Polarization Coherence Theorem, a tight equality: $P^2 = V^2 + D^2$.

Optics · Physics 2018-01-01 J. H. Eberly , X. -F. Qian , A. N. Vamivakas

We study wave-particle duality by exploring for the first time effects of a quantum object's source. A single photon emitted from a pair of nonlocally entangled two-level atoms is specifically analyzed. Surprisingly, duality is found to be…

Quantum Physics · Physics 2020-02-12 X. -F. Qian , G. S. Agarwal

For a particle travelling through an interferometer, the trade-off between the available which-way information and the interference visibility provides a lucid manifestation of the quantum mechanical wave-particle duality. Here we analyze…

Quantum Physics · Physics 2013-11-04 Konrad Banaszek , Pawel Horodecki , Michal Karpinski , Czeslaw Radzewicz

An open question of fundamental importance in quantum thermodynamics is how to describe the statistics of work for initial state with quantum coherence. In this paper, work statistics is considered from a fully new perspective of…

Quantum Physics · Physics 2020-02-26 Bao-Ming Xu , Zhan-Chun Tu , Jian Zou

We present a systematic framework to quantify the interplay between coherence and wave-particle duality in generic two-path interference systems. Our analysis reveals a closed-form duality ellipse (DE) equality, that rigorously unifies…

Quantum Physics · Physics 2025-07-09 Pawan Khatiwada , Xiao-Feng Qian

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

Wave-particle duality epitomizes the counterintuitive character of quantum physics. A striking illustration is the quantum delay-choice experiment, which is based on Wheeler's classic delayed-choice gedanken experiment, but with the…

Quantum Physics · Physics 2020-04-28 Kai Wang , Qian Xu , Shining Zhu , Xiao-song Ma

The wave-particle duality is the main point of demarcation between quantum and classical physics, and is the quintessential mystery of quantum mechanics. Young's two-slit interference experiment is the arch prototype of actual and gedanken…

General Physics · Physics 2007-05-23 Mario Rabinowitz

The complementarity of single-photon's particle-like and wave-like behaviors can be described by the inequality $D^2+V^2 \leq 1$, with $D$ being the path distinguishability and $V$ being the fringe visibility. In this paper, we generalize…

Quantum Physics · Physics 2015-06-12 Jie-Hui Huang , Sabine Wölk , Shi-Yao Zhu , M. Suhail Zubairy

Complementarity relations for wave-particle duality are saturated only for pure, single-quanton, quantum states. For a completely incoherent state, it is known that wave and particle quantifiers can reach zero, and hence no information…

Quantum Physics · Physics 2020-11-03 Marcos L. W. Basso , Jonas Maziero

The relative motion of material, point-like observers is analysed in terms of coordinate maps between the respective rest-frame of each observer. Under the assumption these maps are $C^{2}$-regular, conservation laws are deduced, which in…

General Physics · Physics 2022-09-14 Tony Lyons

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