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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…

量子物理 · 物理学 2015-06-05 G. M. Bosyk , M. Portesi , F. Holik , A. Plastino

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…

量子物理 · 物理学 2015-07-23 Manabendra Nath Bera , Tabish Qureshi , Mohd Asad Siddiqui , Arun Kumar Pati

It is well known that in classical optics, the visibility of interference, in a two-beam light interference, is related to the optical coherence of the two beams. A wave-particle duality relation can be derived using this mutual coherence.…

量子物理 · 物理学 2020-06-05 Bibhash Paul , Sammi Kamal , Tabish Qureshi

In a recent paper [Phys. Rev. {\bf A64}, 042113 (2001)] S. D\"urr proposed an interesting multibeam generalization of the quantitative formulation of interferometric wave-particle duality, discovered by Englert for two-beam interferometers.…

量子物理 · 物理学 2009-11-10 G. Bimonte , R. Musto

Wave-particle duality in multi-path interference is fraught with issues despite substantial progress in recent years. It was experimentally shown that in certain specific conditions, getting path information in a multi-path experiment can…

量子物理 · 物理学 2019-10-11 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…

量子物理 · 物理学 2022-04-05 Fenghua Qi , Zhiyuan Wang , Weiwang Xu , Xue-Wen Chen , Zhi-Yuan Li

Wave-particle duality relations are fundamental for quantum physics. Previous experimental studies of duality relations mainly focus on the quadratic relation $D^2+V^2\leq1$, based on symmetric beam interference, while a linear form of the…

量子物理 · 物理学 2022-09-07 Dong-Xu Chen , Yu Zhang , Jun-Long Zhao , Qi-Cheng Wu , Yu-Liang Fang , Chui-Ping Yang , Franco Nori

For two-path interferometers, the which-path predictability $\mathcal{P}$ and the fringe visibility $\mathcal{V}$ are familiar quantities that are much used to talk about wave-particle duality in a quantitative way. We discuss several…

量子物理 · 物理学 2011-03-15 Berthold-Georg Englert , Dagomir Kaszlikowski , Leong Chuan Kwek , Wei Hui Chee

We consider tunneling between two edges of Quantum Hall liquids (QHL) of filling factors $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two point contacts forming Mach-Zehnder interferometer. Quasi-particle description of…

介观与纳米尺度物理 · 物理学 2007-08-15 Vadim V. Ponomarenko , Dmitri V. Averin

Light's wave-particle duality is at the heart of quantum mechanics and can be well illustrated by Wheeler's delayed-choice experiment. The choice of inserting or removing the second classical (quantum) beam splitter in a Mach-Zehnder…

量子物理 · 物理学 2015-05-06 H. Yan , K. Liao , Z. Deng , J. He , Z. Y. Xue , Z. M. Zhang , S. L. Zhu

We investigate wave-particle duality in a symmetric two-way interferometer with a which-way detector. We find that it is important to state wether the interfering object or the which-way detector is read out first. In case that the…

量子物理 · 物理学 2010-06-11 Uwe Schilling , Joachim von Zanthier

Graphene is a very promising test-bed for the field of electron quantum optics. However, a fully tunable and coherent electronic beam splitter is still missing. We report the demonstration of electronic beam splitters in graphene that…

We discuss complementarity and uncertainty in a gedanken Which-Way (Welcher-Weg) experiment in a Mach-Zehnder interferometer. Although a Welcher-Weg measurement can be performed with only a negligible amount of momentum change in the…

量子物理 · 物理学 2007-05-23 D. Ludwin , Y. Ben-Aryeh , A. Mann

The second-order temporal interference of classical and nonclassical light at an asymmetrical beam splitter is discussed based on two-photon interference in Feynman's path integral theory. The visibility of the second-order interference…

量子物理 · 物理学 2017-03-01 Jianbin Liu , Jingjing Wang , Zhuo Xu

The complementarity relations impose the constraints on different aspects of quantum states. We study the complementarity relation within a multi-path interferometer that includes detectors and quantum memory. Here we consider the mixed…

量子物理 · 物理学 2025-09-09 Yue Sun , Ming-Jing Zhao , Peng-Tong Li

The wave-particle duality demonstrates a competition relation between wave and particle behavior for a particle going through an interferometer. This duality can be formulated as an inequality, which upper bounds the sum of interference…

量子物理 · 物理学 2018-01-31 Kaifeng Bu , Lu Li , Junde Wu , Shao-Ming Fei

The concept of wave-particle duality holds significant importance in the field of quantum mechanics, as it elucidates the dual nature encompassing both wave-like and particle-like properties exhibited by microscopic particles. In this…

量子物理 · 物理学 2024-11-13 Kang-Kang Yang , Zhi-Xi Wang , Shao-Ming Fei

Quantum entanglement between an interfering particle and a detector for acquiring the which-path information plays a central role for enforcing Bohr's complementarity principle. However, the quantitative relation between this entanglement…

In this paper we describe within the formalism of Quantum Optics (QO) a double Mach-Zehnder interferometer (MZI). For single photon Fock states this experimental setup is shown to exhibit a counter-intuitive behavior: for certain values of…

光学 · 物理学 2014-07-08 Stefan Ataman

It is well known that in a two-slit interference experiment, acquiring which-path information about the particle, leads to a degrading of the interference. It is argued that path-information has a meaning only when one can umabiguously tell…

量子物理 · 物理学 2018-08-24 Keerthy K. Menon , Tabish Qureshi