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The axioms of quantum mechanics provide limited information regarding the structure of the Hilbert space, such as the underlying number system. The latter is generally regarded as complex, but generalizations of complex numbers, so-called…

Quantum Physics · Physics 2025-04-03 Ece İpek Saruhan , Joachim von Zanthier , Marc-Oliver Pleinert

A two-body quantum correlation is calculated for a particle and an infinite potential well in which it is trapped or either a barrier or finite well over which it traverses. Correlated interference results when the incident and reflected…

Quantum Physics · Physics 2014-05-06 F. V. Kowalski , R. S. Browne

We report on tunneling experiment between two quantum Hall droplets separated by a nearly ideal tunnel barrier. The device is produced by cleaved edge overgrowth that laterally juxtaposes two two-dimensional electron systems across a high…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Inseok Yang , Woowon Kang , Loren Pfeiffer , Kirk Baldwin , Ken West

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 introduce a simple experiment involving a double-slit interferometer by which one can learn basic concepts of quantum interference such as which-path marking, quantum erasers, and geometric phases. Each of them exhibits seemingly…

Quantum Physics · Physics 2011-03-18 H. Kobayashi , S. Tamate , T. Nakanishi , K. Sugiyama , M. Kitano

In quantum mechanics, the exchange symmetry of wave functions for identical particles has observable effects, including the widely studied Hong-Ou-Mandel (HOM) effect. A theoretical description using second quantization is elegant but…

Quantum Physics · Physics 2024-08-30 Zhi Jiao Deng , Xin Zhang , Yong Shen , Wei Tao Liu , Ping Xing Chen

Quantum computers are the promising candidates for simulation of large quantum systems, which is a daunting task to perform in a classical computer. Here, we report the experimental realization of quantum tunneling of a single particle…

We show that a quantum particle subjected to a positive force in one path of a Mach-Zehnder interferometer and a null force in the other path may receive a negative average momentum transfer when it leaves the interferometer by a particular…

Quantum Physics · Physics 2018-12-18 Raul Corrêa , Marina F. B. Cenni , Pablo L. Saldanha

Multi-parton interactions are a fascinating phenomenon that occur in almost every high-energy hadron--hadron collision, yet are remarkably difficult to study quantitatively. In this letter we present a strategy to optimally disentangle…

High Energy Physics - Phenomenology · Physics 2024-05-20 Jeppe R. Andersen , Pier Francesco Monni , Luca Rottoli , Gavin P. Salam , Alba Soto-Ontoso

The interference of two independent single-photon pulses impinging on a beam splitter is analysed in a generalised time-resolved manner. Different aspects of the phenomenon are elaborated using different representations of the single-photon…

Quantum Physics · Physics 2009-11-10 T. Legero , T. Wilk , A. Kuhn , G. Rempe

Inserting a lossy dielectric into one arm of an interference experiment acts in many ways like a measurement. If two entangled photons are passed through the interferometer, a certain amount of information is gained about which path they…

Quantum Physics · Physics 2015-06-26 Todd A. Brun , Stephen M. Barnett

After quantum quenches in many-body systems, finite subsystems evolve non-trivially in time, eventually approaching a stationary state. In typical situations, the reduced density matrix of a given subsystem begins and ends this endeavour as…

Statistical Mechanics · Physics 2021-11-16 Isaac Reid , Bruno Bertini

We consider tunneling processes in QFT induced by collisions of elementary particles. We propose a semiclassical method for estimating the probability of these processes in the limit of very high collision energy. As an illustration, we…

High Energy Physics - Theory · Physics 2009-11-10 D. Levkov , S. Sibiryakov

When two non-relativistic particles scatter in one dimension, they can become entangled. This entanglement process is constrained by the symmetries of the scattering system and the boundary conditions on the incoming state. Applying these…

Quantum Physics · Physics 2015-05-13 N. L. Harshman , P. Singh

We determine the asymptotic behaviour of (bilateral) obstacle problems for fractional energies in rather general aperiodic settings via Gamma-convergence arguments. As further developments we consider obstacles with random sizes and shapes…

Analysis of PDEs · Mathematics 2009-09-29 Matteo Focardi

The scattering of waves by obstacles in a 2D setting is considered, in particular the computation of the scattered field via the collocation or the least-squares methods. In the case of multiple scattering by smooth obstacles, we prove that…

Numerical Analysis · Mathematics 2014-01-15 Gilles Chardon

We describe how quasiclassical relative positions of particles emerge in an initially delocalized quantum system as scattering of a probe beam is observed. We show that in the multiparticle case this localization in position space occurs…

Quantum Physics · Physics 2015-05-04 James S. Douglas , Keith Burnett

If scattering amplitudes are ordinary complex numbers (not quaternions) there is a universal algebraic relationship between the six coherent cross sections of any three scatterers (taken singly and pairwise). A violation of this…

Quantum Physics · Physics 2007-05-23 Asher Peres

Famous double-slit or double-path experiments, implemented in a Young's or Mach-Zehnder interferometer, have confirmed the dual nature of quantum matter, When a stream of photons, neutrons, atoms, or molecules, passes through two slits,…

We present a multiscale quantum-defect theory (QDT) for two identical atoms in a symmetric harmonic trap that combines the quantum-defect theory for the van der Waals interaction [B. Gao, Phys. Rev. A \textbf{64}, 010701(R) (2001)] at short…

Statistical Mechanics · Physics 2009-11-13 Yujun Chen , Bo Gao