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In this paper, we investigate the use of a mass lumped fully explicit time stepping scheme for the discretisation of the wave equation with underlying material parameters that vary at arbitrarily fine scales. We combine the leapfrog scheme…

数值分析 · 数学 2021-09-08 Sjoerd Geevers , Roland Maier

An open challenge in physics is to expand the frontiers of the validity of quantum mechanics by evidencing nonclassicality of the centre of mass state of a macroscopic object. Yet another equally important task is to evidence the essential…

量子物理 · 物理学 2023-06-07 Bin Yi , Urbasi Sinha , Dipankar Home , Anupam Mazumdar , Sougato Bose

We analytically solve the entangling quantum dynamics of two interacting Stern-Gerlach Interferometers~(SGI). Each SGI exploits an operator-valued force applied by a qubit to create and recombine a non-Gaussian state of matter. The…

量子物理 · 物理学 2026-02-24 Lorenzo Braccini , Alessio Serafini , Sougato Bose

This paper develops a simple two-stage variational Bayesian algorithm to estimate panel spatial autoregressive models, where N, the number of cross-sectional units, is much larger than T, the number of time periods without restricting the…

计量经济学 · 经济学 2023-09-08 Deborah Gefang , Stephen G. Hall , George S. Tavlas

In this paper, we propose a variationally consistent technique for decreasing the maximum eigenfrequencies of structural dynamics related finite element formulations. Our approach is based on adding a symmetric positive-definite term to the…

Gravity's quantum nature can be probed in a laboratory by witnessing the entanglement between the two quantum systems, which cannot be possible if gravity is a classical entity. In this paper, we will provide a simple example where we can…

广义相对论与量子宇宙学 · 物理学 2023-10-26 Shafaq Gulzar Elahi , Anupam Mazumdar

The superposition principle is one of the most fundamental principles of quantum mechanics. According to the Schr\"odinger equation, a physical system can be in any linear combination of its possible states. While the validity of this…

量子物理 · 物理学 2023-05-03 Marius Bild , Matteo Fadel , Yu Yang , Uwe von Lüpke , Phillip Martin , Alessandro Bruno , Yiwen Chu

Mesoscopic superpositions of distinguishable coherent states provide an analog to the Schr\"odinger's cat thought experiment. For mechanical oscillators these have primarily been realised using coherent wavepackets, for which the…

The Stern-Gerlach experiment has played an important role in our understanding of quantum behavior. We propose and analyze a modified version of this experiment where the magnetic field of the detector is in a quantum superposition, which…

量子物理 · 物理学 2018-03-29 R. G. Daghigh , M. D. Green , C. J. West

Macroscopic quantum optical effects (Schrodinger cat states, squeezing, collapse and revival) for light beams propagating in an inhomogeneous linear medium are demonstrated using exact analytical solutions of wave equation. It is shown that…

光学 · 物理学 2015-06-22 Nikolai I. Petrov

Linear superpositions of macroscopically distinct quantum states (sometimes also called Schr\"odinger cat states) are usually almost immediately reduced to a statistical mixture if exposed to the dephasing influence of a dissipative…

量子物理 · 物理学 2007-05-23 Daniel Braun , Petr A. Braun , Fritz Haake

The superposition principle is one of the bizarre predictions of quantum mechanics. Nevertheless, it has been experimentally verified using electrons, photons, atoms, and molecules. In this article, using a $20~$nm levitated ferromagnetic…

介观与纳米尺度物理 · 物理学 2020-03-24 A T M Anishur Rahman

The idea of using fragment embedding to circumvent the high computational scaling of accurate electronic structure methods while retaining high accuracy has been a long-standing goal for quantum chemists. Traditional fragment embedding…

化学物理 · 物理学 2022-10-11 Hong-Zhou Ye , Matthew Welborn , Nathan D. Ricke , Troy Van Voorhis

Ideal spatial demultiplexing (SPADE) is proven to be a quantum-optimal tool for exoplanet detection, i.e., asymmetric source discrimination. However, recent investigations into the related problems of separation estimation and symmetric…

天体物理仪器与方法 · 物理学 2025-10-20 Tomasz Linowski , Konrad Schlichtholz , Giacomo Sorelli

We suggest a scheme to generate a macroscopic superposition state (Schrodinger cat state) of a free-propagating optical field using a beam splitter, homodyne measurement and a very small Kerr nonlinear effect. Our scheme makes it possible…

量子物理 · 物理学 2009-11-10 H. Jeong , M. S. Kim , T. C. Ralph , B. S. Ham

Macroscopic mechanical qubits are fundamental both to test the classical-quantum boundary and present suitable candidates for quantum information processing. Motivated by these, we propose a feasible probabilistic scheme to generate an…

量子物理 · 物理学 2017-12-05 Víctor Montenegro , Raúl Coto , Vitalie Eremeev , Miguel Orszag

Schr\"odinger cat states, which are superpositions of macroscopically distinct states, are potentially critical resources for upcoming quantum information technologies. In this paper, we introduce a scheme to generate entangled…

高能物理 - 理论 · 物理学 2024-08-14 Partha Nandi , Nandita Debnath , Subhajit Kala , A. S. Majumdar

We derive the asymptotic distribution of the spatial Cram'{e}r--von Mises statistic for testing bivariate independence in stationary random fields on $\mathbb{R}^2$ under polynomial $\beta$-mixing dependence, and document the Python…

统计方法学 · 统计学 2026-05-20 Marco Mandap

We present and analyze a multiscale method for wave propagation problems, posed on spatial networks. By introducing a coarse scale, using a finite element space interpolated onto the network, we construct a discrete multiscale space using…

数值分析 · 数学 2023-04-12 Morgan Görtz , Per Ljung , Axel Målqvist

We study a qubit-oscillator system, with a time-dependent coupling coefficient, and present a scheme for generating entangled Schr\"odinger-cat states with large mean photon numbers and also a scheme that protects the cat states against…

量子物理 · 物理学 2019-01-23 Z. Xiao , T. Fuse , S. Ashhab , F. Yoshihara , K. Semba , M. Sasaki , M. Takeoka , J. P. Dowling