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We propose an alternative method to generate samples of a spatially correlated random field with applications to large-scale problems for forward propagation of uncertainty. A classical approach for generating these samples is the…

数值分析 · 数学 2017-03-27 Sarah Osborn , Panayot Vassilevski , Umberto Villa

The present work reports on an extended research endeavor focused on the theoretical and experimental realization of a macroscopic quantum superposition (MQS) made up with photons. As it is well known, this intriguing, fundamental quantum…

量子物理 · 物理学 2013-08-05 Francesco De Martini , Fabio Sciarrino

The ability of matter to be superposed at two different locations while being intrinsically connected by a quantum phase is among the most counterintuitive predictions of quantum physics. While such superpositions have been created for a…

量子物理 · 物理学 2016-04-13 D. Kienzler , C. Flühmann , V. Negnevitsky , H. -Y. Lo , M. Marinelli , D. Nadlinger , J. P. Home

This paper is a proposal for the generation of many-body entangled state in atomic and mechanical systems. Application of strong Rydberg dressing interaction and fast bifurcation scheme in an ultra-stable Cs lattice clock in this proposal…

量子物理 · 物理学 2018-10-24 Mohammadsadegh Khazali

A general technique is outlined for investigating supersymmetry properties of a charged spin-$\half$ quantum particle in time-varying electromagnetic fields. The case of a time-varying uniform magnetic induction is examined and shown to…

高能物理 - 理论 · 物理学 2009-09-25 V. Alan Kostelecký , V. I. Man'ko , Michael Martin Nieto , D. Rodney Truax

Images from adaptive optics systems are generally affected by significant distortions of the point spread function (PSF) across the field of view, depending on the position of natural and artificial guide stars. Image reduction techniques…

In recent years two fundamental aspects of quantum mechanics have attracted a great deal of interest, namely the investigation on the irreducible nonlocal properties of Nature implied by quantum entanglement and the physical realization of…

量子物理 · 物理学 2008-04-03 Francesco De Martini , Fabio Sciarrino , Chiara Vitelli

In this paper, we consider the classical wave equation with time-dependent, spatially multiscale coefficients. We propose a fully discrete computational multiscale method in the spirit of the localized orthogonal decomposition in space with…

数值分析 · 数学 2021-07-30 Bernhard Maier , Barbara Verfürth

Entanglement is a central resource in quantum information science, yet its structure in high dimensions remains notoriously difficult to characterize. One of the few general results on high-dimensional entanglement is given by peel-off…

量子物理 · 物理学 2025-09-10 Robin Krebs , Mariami Gachechiladze

In this paper, we will show how random fluctuations in the magnetic field will jitter the paths of a matter-wave interferometer randomly, hence, decohere the quantum superposition. To create a large spatial superposition with nanoparticles,…

量子物理 · 物理学 2025-08-26 Sneha Narasimha Moorthy , Andrew Geraci , Sougato Bose , Anupam Mazumdar

Conventional optical imaging is limited by diffraction, preventing discrimination of closely spaced incoherent sources. Inspired by quantum parameter estimation, this thesis explores spatial-mode demultiplexing (SPADE) as a method to…

光学 · 物理学 2025-09-23 Nickolay Erin Titov

In this paper, we study the time-independent Schr\"odinger equation within the formalism of position dependent effective mass. For a generalized decomposition of the non-central effective potential, the deformed Schr\"odinger equation can…

量子物理 · 物理学 2016-10-27 M. Chabab , A. El Batoul , H. Hassanabadi , M. Oulne , S. Zare

We present a detailed derivation of a model to study effects of self-gravitation from semi-classical gravity, described by the Schr\"odinger-Newton equation, employing spin superposition states in inhomogeneous magnetic fields, as proposed…

广义相对论与量子宇宙学 · 物理学 2021-12-16 André Großardt

Utilizing the Stern-Gerlach apparatus to create matter-wave superposition states is a long-sought-after goal, not only due to its potential applications in the quantum realm but also because of its fundamental implications for studying the…

量子物理 · 物理学 2024-10-28 Qian Xiang , Run Zhou , Sougato Bose , Anupam Mazumdar

In this paper, contrast-independent partially explicit time discretization for wave equations in heterogeneous high-contrast media via mass lumping is concerned. By employing a mass lumping scheme to diagonalize the mass matrix, the matrix…

数值分析 · 数学 2025-02-25 Shu Fan Li , Wing Tat Leung

We present a quantum computing simulation study of mass-dependent decoherence models inspired by Penrose's gravity-induced collapse hypothesis. According to objective reduction (OR) theory, quantum superpositions become unstable when the…

量子物理 · 物理学 2025-08-15 Viswak R Balaji , Samuel Punch

Superpositions of mass distributions can potentially lead to entanglement with the geometry of spacetime. Here we show that there exists a natural reluctance for macroscopic mass distributions to form such superpositions. The macroscopic…

量子物理 · 物理学 2026-03-03 Filippus S. Roux

In this paper we will discuss how to localise a quantum wave-packet due to self-gravitating meso-scopic object by taking into account gravitational self-interaction in the Schr\"odinger equation beyond General Relativity. In particular, we…

量子物理 · 物理学 2018-05-23 Luca Buoninfante , Gaetano Lambiase , Anupam Mazumdar

The semiclassical Schr\"{o}dinger equation with multiscale and random potentials often appears when studying electron dynamics in heterogeneous quantum systems. As time evolves, the wavefunction develops high-frequency oscillations in both…

数值分析 · 数学 2019-07-02 Jingrun Chen , Dingjiong Ma , Zhiwen Zhang

It has been a long-standing goal to bring massive objects into a superposition of different locations in real space, not only to confirm quantum theory in new regimes, but also to explore the interface with gravity. The main challenge is…

量子物理 · 物理学 2024-11-22 Carsten Henkel , Ron Folman