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An interference experiment with entangled particles is theoretically analyzed, where one of the entangled pair (particle 1) goes through a multi-slit before being detected at a fixed detector. In addition, one introduces a mechanism for…

Quantum Physics · Physics 2019-02-15 Misba Afrin , Tabish Qureshi

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

An interferometer - no matter how clever the design - cannot reveal both the wave and particle behavior of a quantum system. This fundamental idea has been captured by inequalities, so-called wave-particle duality relations (WPDRs), that…

Quantum Physics · Physics 2016-06-28 Patrick J. Coles

In this paper, we investigate the phase sensitivities in two-path optical interferometry with asymmetric beam splitters. Here, we present the optimal conditions for the transmission ratio and the phase of the beam splitter to gain the…

Quantum Physics · Physics 2020-01-03 Wei Zhong , Fan Wang , Lan Zhou , Peng Xu , Yu-Bo Sheng

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

In this paper we address the problem of optimizing an unbalanced Mach-Zehnder interferometer, for a given pure input state and considering a specific detection scheme. While the optimum transmission coefficient of the first beam splitter…

Quantum Physics · Physics 2022-08-31 Karunesh K. Mishra , Stefan Ataman

We discuss a parameter estimation problem using quantum decoherece in the double-slit interferometer. We consider a particle coupled to a massive scalar field after the particle passing through the double slit and solve the dynamics…

Quantum Physics · Physics 2018-07-18 Akira Matsumura , Taishi Ikeda , Shingo Kukita

Grover multiports are higher-dimensional generalizations of beam splitters, in which input to any one of the four ports has equal probability of exiting at any of the same four ports, including the input port. In this paper, we demonstrate…

Quantum Physics · Physics 2022-09-21 David S. Simon , Christopher R. Schwarze , Alexander V. Sergienko

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

One of the most puzzling consequences of interpreting quantum mechanics in terms of concepts borrowed from classical physics, is the so-called wave-particle duality. Usually, wave-particle duality is illustrated in terms of complementarity…

Quantum Physics · Physics 2023-10-18 Andrea Aiello

We propose an analytical approach to design flattened wavelength splitters with cascaded Mach-Zehnder interferometers when wavelength dependence of the directional couplers cannot be neglected. We start from a geometrical representation of…

Optics · Physics 2009-06-22 Matteo Cherchi

According to Bohr's complementarity principle, a particle possesses wave-like properties only when the different paths the particle may take are indistinguishable. In a canonical example of a two-path interferometer with a which-path…

Mesoscale and Nanoscale Physics · Physics 2008-06-17 Dong-In Chang , Gyong Luck Khym , Kicheon Kang , Yunchul Chung , Hu-Jong Lee , Minky Seo , Moty Heiblum , Diana Mahalu , Vladimir Umansky

We study theoretically electronic Mach-Zehnder interferometers built from integer quantum Hall edge states, showing that the results of recent experiments can be understood in terms of multiparticle interference effects. These experiments…

Strongly Correlated Electrons · Physics 2010-05-27 D. L. Kovrizhin , J. T. Chalker

A typical application for laser interferometers is a precision measurement of length changes that result in interferometric phase shifts. Such phase changes are typically predicted numerically, due to the com- plexity of the overlap…

Optics · Physics 2014-06-06 Gudrun Wanner , Gerhard Heinzel

A coherent account of the connections and contrasts between the principles of com- plementarity and uncertainty is developed starting from a survey of the various formalizations of these principles. The conceptual analysis is illustrated by…

Quantum Physics · Physics 2007-05-23 Paul Busch , Christopher R. Shilladay

Photons in a two-path interferometer best embody wave-particle duality (WPD), which is a core concept of quantum theory. So far, the WPD relation is commonly written as $V^2+D^2 \leq 1$, where $V$ is the interference fringe visibility and…

Quantum Physics · Physics 2026-05-26 Naofumi Abe , Keiichi Edamatsu

A polarized photon with well-defined orbital angular momentum that emerges from a Mach-Zehnder interferometer (MZI) is shown to circumvent wave-particle duality. Its polarization-resolved detection probability forms a non-sinusoidal…

Quantum Physics · Physics 2007-05-29 M. Kolar , T. Opatrny , G. Kurizki

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…

Quantum Physics · Physics 2007-05-23 D. Ludwin , Y. Ben-Aryeh , A. Mann

The aim of this paper is to revisit the implications of complementarity when we inject into a Mach Zehnder interferometer particles with internal structure, prepared in special translational-internal entangled (TIE) states. This correlation…

Quantum Physics · Physics 2009-11-13 M. Kolar , T. Opatrny , N. Bar-Gill , N. Erez , G. Kurizki

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