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We address the problem of interference using the Heisenberg picture and highlight some new aspects through the use of pre-selection, post-selection, weak measurements, and modular variables, We present a physical explanation for the…

Quantum Physics · Physics 2015-05-14 Jeff Tollaksen , Yakir Aharonov , Aharon Casher , Tirzah Kaufherr , Shmuel Nussinov

Understanding the fundamental limits on the precision to which an optical phase can be estimated is of key interest for many investigative techniques utilized across science and technology. We study the estimation of a fixed optical phase…

Quantum Physics · Physics 2017-12-13 Patrick M. Birchall , Jeremy L. O'Brien , Jonathan C. F. Matthews , Hugo Cable

Interference lies at the heart of the behavior of classical and quantum light. It is thus crucial to understand the boundaries between which interference patterns can be explained by a classical electromagnetic description of light and…

Quantum Physics · Physics 2016-11-29 Luca Rigovacca , Carlo Di Franco , Benjamin J. Metcalf , Ian A. Walmsley , M. S. Kim

Richard Feynman's method of path integrals is based on the fundamental assumption that a system starting at a point A and arriving at a point B takes all possible paths from A to B, with each path contributing its own (complex) probability…

Quantum Physics · Physics 2022-10-06 Masud Mansuripur

Interference is central to quantum physics and occurs when indistinguishable paths exist, like in a double-slit experiment. Replacing the two slits with two single atoms introduces optical non-linearities for which nontrivial interference…

Quantum Physics · Physics 2016-05-04 Andreas Neuzner , Matthias Körber , Olivier Morin , Stephan Ritter , Gerhard Rempe

We present experimental observations of the interference of spin-wave modes propagating in opposite directions in micron-sized NiFe-waveguides. To monitor the local spin-wave intensity distribution and phase of the formed interference…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Philipp Pirro , Thomas Brächer , Katrin Vogt , Björn Obry , Helmut Schultheiss , Britta Leven , Burkard Hillebrands

A method to create instructive, nonuniform aperture functions using spatial frequency filtering is described. The diffraction from a single slit in the Fresnel limit and the interference from a double slit in the Fraunhofer limit are…

Optics · Physics 2015-06-05 Lowell T. Wood

A quantum transition can be seen as a result of interference between various pathways(e.g. Feynman paths) which can be labelled by a variable $f$. An attempt to determine the value of f without destroying the coherence between the pathways…

Quantum Physics · Physics 2009-05-26 D. Sokolovski

In which-way double-slit experiments with perfect detectors, it is assumed that having a second detector at the slits is redundant, as it will not change the interference pattern. We however show that if higher-order or non-classical paths…

Quantum Physics · Physics 2017-05-03 James Q. Quach

The uncertainty principle suggests a quantitative trade-off between the control of position and the control of momentum in particle propagation. However, a superposition of two states with very different uncertainty trade-offs introduces an…

Quantum Physics · Physics 2026-04-02 Yuki Senoo , Holger F. Hofmann , Hiroki Yamakami , Masataka Iinuma

The Feynman path integral representation of quantum theory is used in a non--parametric Bayesian approach to determine quantum potentials from measurements on a canonical ensemble. This representation allows to study explicitly the…

Quantum Physics · Physics 2007-05-23 J. C. Lemm , J. Uhlig , A. Weiguny

Interference is fundamental to wave dynamics and quantum mechanics. The quantum wave properties of particles are exploited in metrology using atom interferometers, allowing for high-precision inertia measurements [1, 2]. Furthermore, the…

Quantum Gases · Physics 2010-09-14 Christian Gross , Tilman Zibold , Eike Nicklas , Jerome Esteve , Markus K. Oberthaler

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…

Quantum Physics · Physics 2017-03-01 Jianbin Liu , Jingjing Wang , Zhuo Xu

We implement the worldline formalism in phase space to compute scattering amplitudes. First, the Feynman rules exhibit several useful universal features, reflecting elements of the symplectic geometry of the phase space target. Next,…

High Energy Physics - Theory · Physics 2025-09-09 Joon-Hwi Kim

New technological developments allow to explore the quantum properties of very complex systems, bringing the question of whether also macroscopic systems share such features, within experimental reach. The interest in this question is…

Quantum Physics · Physics 2015-06-17 Mohammad Bahrami , Angelo Bassi , Hendrik Ulbricht

Quantum theory of interference phenomena does not take the diameter of the particle into account, since particles were much smaller than the width of the slits in early observations. In recent experiments with large molecules, the diameter…

Quantum Physics · Physics 2007-05-23 Mirjana Bozic , Dusan Arsenovic , Lepsa Vuskovic

Interference between two waves is a well-known concept in physics, and its generalization to more than two waves is straight-forward. The order of interference is defined as the number of paths that interfere in a manner that cannot be…

Young's double-slit experiment requires two waves produced simultaneously at two different points in space. In quantum mechanics the waves correspond to a single quantum object, even as complex as a big molecule. An interference is present…

Quantum Physics · Physics 2019-05-31 Marek Czachor

In this article we present an analytic solution of the famous problem of diffraction and interference of electrons through one and two slits (for simplicity, only the one-dimensional case is considered). In addition to exact formulas, we…

Quantum Physics · Physics 2015-10-30 Mathieu Beau

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…