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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

We analyze an interferometric complementarity between one- and two-particle interference in the general case: $V_{i}^{2}+V_{12}^{2}\leq 1$ $(i=1$, $2)$, and further examine the relation among one-particle interference visibility $V_{i}$,…

Quantum Physics · Physics 2007-05-23 Xinhua Peng , Xiwen Zhu , Maili Liu , Kelin Gao

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

Multimode two-particle systems show interference effects in one-particle detections when both particles have common modes. We explore the possibility of extending the usual concepts of distinguishability and visibility to these types of…

Quantum Physics · Physics 2007-05-23 P. Sancho

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

We discuss characterization of single-photon wave packets by measuring Hong-Ou-Mandel interference with a weak coherent pulse. A complete multimode calculation is presented and effects of multiphoton terms in the coherent field as well as…

Quantum Physics · Physics 2016-11-18 Piotr Kolenderski , Konrad Banaszek

Interference effects are usually observed by intensity measurement. Path indistinguishability by quantum complementarity principle requires projection of the interfering fields into a common indistinguishable mode before detection. On the…

Quantum Physics · Physics 2025-07-22 Yunxiao Zhang , Xuan Tang , Xueshi Guo , Liang Cui , Xiaoying Li , Z. Y. Ou

For any ideal two-path interferometer it is shown that the wave-particle duality of quantum mechanics implies Heisenberg's uncertainty relation and vice versa. It is conjectured that complementarity and uncertainty are two aspects of the…

Quantum Physics · Physics 2007-05-23 Ole Steuernagel

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

A complementarity relation is shown between the visibility of interference and bipartite entanglement in a two qubit interferometric system when the parameters of the quantum operation change for a given input state. The entanglement…

Quantum Physics · Physics 2014-12-01 A. Hosoya , A. Carlini , S. Okano

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

Guided-wave platforms such as fiber and silicon-on-insulator waveguide show great advances over traditional free space implementations in quantum information technology for significant advantages of low transmission loss, low cost,…

Quantum Physics · Physics 2016-07-11 Zhi-Yuan Zhou , Yin-Hai Li , Zhao-Huai Xu , Shuang Wang , Li-Xin Xu , Bao-Sen Shi , Guang-Can Guo

The indistinguishability of non-identical photons is dependent on detection system in quantum physics. If two photons with different wavelengths are indistinguishable for a detection system, there can be two-photon interference when these…

Optics · Physics 2017-03-02 Jianbin Liu , Yu Zhou , Huaibin Zheng , Hui Chen , Fu-Li Li , Zhuo Xu

Hong-Ou-Mandel (HOM) interference unveils a distinct behavior of identical particles which cannot be distinguished from each other. Especially for bosons, two separated identical particles passing through a beamsplitter always go together…

We study the impact of distinguishability and mixedness -- two fundamental properties of quantum states -- on quantum interference. We show that these can influence the interference of multiple particles in different ways, leading to…

We revisit, in the framework of Mach-Zehnder interferometry, the connection between the complementarity and uncertainty principles of quantum mechanics. Specifically, we show that, for a pair of suitably chosen observables, the trade-off…

Quantum Physics · Physics 2015-06-05 G. M. Bosyk , M. Portesi , F. Holik , A. Plastino

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

Classical wisdom of wave-particle duality says that it is impossible to observe simultaneously the wave and particle nature of microscopic object. Mathematically the principle requests that the interference visibility V and which-path…

Quantum Physics · Physics 2022-04-05 Fenghua Qi , Zhiyuan Wang , Weiwang Xu , Xue-Wen Chen , Zhi-Yuan Li

Superposition and indistinguishablility between probability amplitudes have played an essential role in observing quantum interference effects of correlated photons. The Hong-Ou-Mandel interference and interferences of the path-entangled…

Quantum Physics · Physics 2015-03-31 Heonoh Kim , Sang Min Lee , Han Seb Moon

The visibility of the quantum interference "dip" seen in the Hong-Ou-Mandel experiment is optimized when a symmetric 50/50 beamsplitter is used in the interferometer. Here we show that the reduction in visibility caused by an asymmetric…

Quantum Physics · Physics 2010-02-20 J. L. Liang , T. B. Pittman