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An optimal 3-point quadrature formula of closed type is derived. Various error inequalities are established. Applications in numerical integration are also given.

Classical Analysis and ODEs · Mathematics 2025-10-20 Nenad Ujevic

The two-photon ghost interference experiment, generalized to the case of massive particles, is theoretically analyzed. It is argued that the experiment is intimately connected to a double-slit interference experiment where, the which-path…

Quantum Physics · Physics 2012-04-03 Pravabati Chingangbam , Tabish Qureshi

A new three dimensional model of the FEL is presented. A system of scaled, coupled Maxwell Lorentz equations are derived in the paraxial limit. A minimal number of limiting assumptions are made and the equations are not averaged in the…

Optics · Physics 2008-12-11 C. K. W. Nam , P. Aitken , B. W. J. McNeil

We prove an asymptotic crystallization result in two dimensions for a class of nonlocal particle systems. To be precise, we consider the best approximation with respect to the 2-Wasserstein metric of a given absolutely continuous…

Optimization and Control · Mathematics 2021-10-13 David P. Bourne , Riccardo Cristoferi

In this article, we bypass the detailed symmetry breaking pathways established in [1]. Instead, a direct route from the Spin(10) model to the Standard Model is enabled via a single algebraic constraint. This single constraint, however, may…

High Energy Physics - Phenomenology · Physics 2025-02-18 N. Furey

We experimentally test the recently predicted anisotropic invariance properties of pure three-qubit states, via generation and measurement of polarisation-path entangled three-qubit states. These properties do not require aligned reference…

For an even set of points in the plane, choose a max-sum matching, that is, a perfect matching maximizing the sum of Euclidean distances of its edges. For each edge of the max-sum matching, consider the ellipse with foci at the edge's…

Computational Geometry · Computer Science 2023-11-23 Polina Barabanshchikova , Alexandr Polyanskii

Qubits require a compromise between operation speed and coherence. Here, we demonstrate a compromise-free singlet-triplet (ST) qubit, where the qubit couples maximally to the driving field while simultaneously coupling minimally to the…

By applying a scattering-wave theory, the electromagnetic response of an arbitrary array of multiple slits perforated on a metallic film and filled with different slit dielectric materials can be studied in an analytical way. Here, the…

Optics · Physics 2015-06-12 Danhong Huang , L. David Wellems

A measurement scheme of atomic qubits pinned at given positions is studied by analyzing the interference pattern obtained when they emit photons spontaneously. In the case of two qubits, a well-known relation is revisited, in which the…

Quantum Physics · Physics 2015-05-18 Jun Suzuki , Christian Miniatura , Kae Nemoto

A recent paper [M. Seevinck and J. Uffink, Phys. Rev. A 65, 012107 (2002)] presented a bound for the three-qubit Mermin inequality such that the violation of this bound indicates genuine three-qubit entanglement. We show that this bound can…

Quantum Physics · Physics 2007-05-23 Geza Toth , Otfried Guehne , Michael Seevinck , Jos Uffink

We experimentally demonstrate the nonclassical photon number correlations expected in tripartite continuous variable states obtained by parametric processes. Our scheme involves a single nonlinear crystal, where two interlinked parametric…

Quantum Physics · Physics 2009-11-13 Alessia Allevi , Maria Bondani , Matteo G. A. Paris , Alessandra Andreoni

We test the validity of Feynman's idea that a two-slit experiment performed with classical objects (bullets) does not produce observable interference fringes on the detection screen because the Compton's wavelength of the bullets is so…

Quantum Physics · Physics 2015-09-07 Marco Ornigotti , Andrea Aiello

Superresolution techniques based on intensity measurements after a spatial mode decomposition can overcome the precision of diffraction-limited direct imaging. However, realistic measurement devices always introduce finite crosstalk in any…

Quantum Physics · Physics 2020-09-02 Manuel Gessner , Claude Fabre , Nicolas Treps

The phenomenological case for threefold maximal lepton mixing is strengthened by more detailed comparison with existing data. The atmospheric neutrino data are self-consistent and in good agreement with the threefold maximal mixing…

High Energy Physics - Phenomenology · Physics 2009-10-30 P. F. Harrison , D. H. Perkins , W. G. Scott

We analyze electron paths in a solid-state double-slit interferometer based on the two-dimensional electron gas and their mapping by the scanning gate microscopy (SGM). A device with a quantum point source contact of a split exit and a…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 K. Kolasiński , B. Szafran

We present experimental results demonstrating the quantum interference of two photons distinguishable in their transverse momenta, each entering the input ports of a balanced beam splitter. This counterintuitive interference effect is made…

Quantum theory permits interference between indistinguishable paths but, at the same time, restricts its order. Single-particle interference, for instance, is limited to the second order, that is, to pairs of single-particle paths. To date,…

Quantum Physics · Physics 2021-05-13 Marc-Oliver Pleinert , Alfredo Rueda , Eric Lutz , Joachim von Zanthier

We apply the semiclassical theory of transport to quantum dots with exact and approximate spatial symmetries; left-right mirror symmetry, up-down mirror symmetry, inversion symmetry or four-fold symmetry. In this work - the first of a pair…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 Robert S. Whitney , Henning Schomerus , Marten Kopp

By numerical simulations of the $3d$ Ising spin glass we find evidence that spontaneous replica symmetry breaking theory and not the droplet model describes with good accuracy the equilibrium behavior of the system.

Condensed Matter · Physics 2009-10-28 E. Marinari , G. Parisi , F. Ritort , J. Ruiz-Lorenzo