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The complementarity relation between the visibility and the spectral distinguishability of frequency-displaced photonic wave-packets in a Hong-Ou-Mandel interferometer is studied. An experimental definition of $K$, the distinguishability…

Grangier, Roger and Aspect (GRA) performed a beam-splitter experiment to demonstrate the particle behaviour of light and a Mach-Zehnder interferometer experiment to demonstrate the wave behaviour of light. The distinguishing feature of…

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

We study both the wave-like behavior and particle-like behavior in a general Mach-Zehnder interferometer with its asymmetric beam splitter. A error-free measurement in the detector is used to extract the which-path information. The fringe…

Quantum Physics · Physics 2017-04-26 Yanjun Liu , Jing Lu , and Lan Zhou

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

A recent experiment performed by S. Afshar [first reported by M. Chown, New Scientist {\bf 183}, 30 (2004)] is analyzed. It was claimed that this experiment could be interpreted as a demonstration of a violation of the principle of…

Quantum Physics · Physics 2013-06-26 Ole Steuernagel

The delayed-choice quantum eraser represents an interesting experiment that exemplifies Bohr's principle of complementarity in a beautiful way. According to the complementarity principle, in a two-path interference experiment, the knowledge…

Quantum Physics · Physics 2025-11-27 Tabish Qureshi

Bohr's principle of complementarity lies at the central place of quantum mechanics, according to which the light is chosen to behave as a wave or particles, depending on some exclusive detecting devices. Later, intermediate cases are found,…

Quantum Physics · Physics 2013-08-09 Jian-Shun Tang , Yu-Long Li , Chuan-Feng Li , Guang-Can Guo

We demonstrate one- and two-photon diffraction and interference experiments utilizing parametric down-converted photon pairs (biphotons) and a transmission grating. With two-photon detection, the biphoton exhibits a diffraction-interference…

Quantum Physics · Physics 2009-11-07 Ryosuke Shimizu , Keiichi Edamatsu , Tadashi Itoh

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

Complementarity theory is the essence of the Copenhagen interpretation. Since the Hanbury Brown and Twiss experiments, the particle nature of photons has been intensively studied for various quantum phenomena such as anticorrelation and…

Quantum Physics · Physics 2021-05-06 Sangbae Kim , Byoung S. Ham

We report on the simultaneous determination of complementary wave and particle aspects of light in a double-slit type "welcher-weg" experiment beyond the limitations set by Bohr's Principle of Complementarity. Applying classical logic, we…

Quantum Physics · Physics 2007-05-23 Shahriar S. Afshar , Eduardo Flores , Keith F. McDonald , Ernst Knoesel

Bohr's Complementarity Principle is quantitatively formulated in terms of the distinguishability of various paths a quanton can take, and the measure of the interference it produces. This phenomenon results from the interference of…

Quantum Physics · Physics 2022-07-21 Neha Pathania , Tabish Qureshi

The quantum "mystery which cannot go away" (in Feynman's words) of wave-particle duality is illustrated in a striking way by Wheeler's delayed-choice GedankenExperiment. In this experiment, the configuration of a two-path interferometer is…

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

We consider an interferometer based on the concept of induced coherence, where two photons that originate in different second-order nonlinear crystals can interfere. We derive a complementarity relationship that links the first-order…

Quantum Physics · Physics 2024-07-23 Gerard J. Machado , Lluc Sendra , Adam Vallés , Juan P. Torres

Quantum emitters such as quantum dots, defects in diamond or in silicon have emerged as efficient single photon sources that are progressively exploited in quantum technologies. In 2019, it was shown that the emitted single photon states…

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…

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

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…

Interactions between solid-state quantum emitters and cavities are important for a broad range of applications in quantum communication, linear optical quantum computing, nonlinear photonics, and photonic quantum simulation. These…

Quantum Physics · Physics 2016-11-11 Je-Hyung Kim , Christopher J. K. Richardson , Richard P. Leavitt , Edo Waks