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The computation of the phase shift in a symmetric atom interferometer in the presence of a gravitational field is reviewed. The difference of action-phase integrals between the two paths of the interferometer is zero for any Lagrangian…

General Relativity and Quantum Cosmology · Physics 2014-09-16 Peter Wolf , Luc Blanchet , Christian J. Bordé , Serge Reynaud , Christophe Salomon , Clande Cohen-Tannoudji

In a previous paper [Phys. Rev. D 97, 104044 (2018)] we pointed out some shortcomings of the standard approach to chameleon theories consisting in treating the small bodies used to test the weak equivalence principle (WEP) as test…

General Relativity and Quantum Cosmology · Physics 2019-04-22 Lucila Kraiselburd , Susana J. Landau , Marcelo Salgado , Daniel Sudarsky , Héctor Vucetich

We present an integrated design to precisely measure optical frequency using weak value amplification with a multi-mode interferometer. The technique involves introducing a weak perturbation to the system and then post-selecting the data in…

Quantum Physics · Physics 2022-02-02 John Steinmetz , Kevin Lyons , Meiting Song , Jaime Cardenas , Andrew N. Jordan

This work discusses the possibility of using two-mode squeezed light to improve the performance of existing sensor technology with the focus on its miniaturization under realistic losses. Therefore, we analyze a system consisting of a part…

We propose a quantum enhanced interferometric protocol for gravimetry and force sensing using cold atoms in an optical lattice supported by a standing-wave cavity. By loading the atoms in partially delocalized Wannier-Stark states, it is…

Quantum Physics · Physics 2021-11-19 Anjun Chu , Peiru He , James K. Thompson , Ana Maria Rey

For the Lagrange interpolation over a triangular domain, we propose an efficient algorithm to rigorously evaluate the interpolation error constant under the maximum norm by using the finite element method (FEM). In solving the optimization…

Numerical Analysis · Mathematics 2021-12-07 Shirley Mae Galindo , Koichiro Ike , Xuefeng Liu

Measurement of interferometric parameters values is affected by phase disturbance due especially to atmospheric turbulences. Algorithms of fringe sensing, aimed at fringe parameters identification, are based on interferometric models that…

Instrumentation and Methods for Astrophysics · Physics 2009-08-27 Bonino Donata

We use the Feynman path integral approach to nonrelativistic quantum mechanics twofold. First, we derive the lagrangian for a spinless particle moving in a uniformly but not necessarily constantly accelerated reference frame; then, applying…

Quantum Physics · Physics 2007-05-23 Stella Huerfano , Sarira Sahu , M. Socolovsky

We explore the relationship between symmetrisation and entanglement through measurements on few-particle systems in a multi-well potential. In particular, considering two or three trapped atoms, we measure and distinguish correlations…

Violations of both the weak equivalence principle (WEP) and Lorentz invariance can produce vacuum birefringence, which leads to an energy-dependent rotation of the polarization vector of linearly polarized emission from a given…

High Energy Astrophysical Phenomena · Physics 2020-06-23 Jun-Jie Wei , Xue-Feng Wu

We derive a Fast Multipole Method (FMM) where a low-rank approximation of the kernel is obtained using the Empirical Interpolation Method (EIM). Contrary to classical interpolation-based FMM, where the interpolation points and basis are…

Numerical Analysis · Mathematics 2015-08-25 Fabien Casenave

The Weak Equivalence Principle (WEP), stating that two bodies of different compositions and/or mass fall at the same rate in a gravitational field (universality of free fall), is at the very foundation of General Relativity. The MICROSCOPE…

Ramsey interferometry is routinely used in quantum metrology for the most sensitive measurements of optical clock frequencies. Spontaneous decay to the electromagnetic vacuum ultimately limits the interrogation time and thus sets a lower…

Quantum Physics · Physics 2013-10-01 Laurin Ostermann , Helmut Ritsch , Claudiu Genes

We report on the experimental demonstration of a horizontal accelerometer based on atom interferometry using counterpropagative Raman transitions between the states $F=1,m_F=\mp1$ and $F=2,m_F=\pm1$ of $^{87}$Rb. Compared to the $F=1,m_F=0…

Young's double slit experiment has often been used to illustrate the concept of complementarity in quantum mechanics. If information can in principle be obtained about the path of the photon, then the visibility of the interference fringes…

Quantum Physics · Physics 2025-07-29 Hanzhen Lin , Yu-Kun Lu , Vitaly Fedoseev , Yoo Kyung Lee , Jiahao Lyu , Wolfgang Ketterle

Progress in testing fundamental physics relies on our ability to measure exceedingly small physical quantities. Using a $^{40}$Ca$^{+}$ trapped ion system as an example we show that an exceedingly weak synthetic magnetic field (at the scale…

Quantum Physics · Physics 2019-12-24 Sounok Ghosh , Leong-Chuan Kwek , Daniel R. Terno , Sai Vinjanampathy

In this article we present a comprehensive theoretical investigation of phonon lasing with mixed-species trapped ions, as demonstrated in [T. Behrle, Phys. Rev. Lett. 131 (2023)], employing both a semi-classical mean-field description and a…

Quantum Physics · Physics 2026-04-21 David Baur , Tanja Behrle , Ivan Rojkov , Jan Jeske , Susanne Yelin , Jonathan Home , Florentin Reiter

A weak measurement approach is proposed to entangle and squeeze atoms. We show that even for very small coupling strength between light and atoms, one can achieve large squeezing unattainable with normal measurement-based squeezing.…

Quantum Physics · Physics 2019-01-01 Mingfeng Wang , Weizhi Qu , Han Bao , Pengxiong Li , Yanhong Xiao

The use of free energy perturbation (FEP) methods to study protein-ligand complexes is one of the most important tools in structure-based drug design. Because FEP methods typically rely on force fields, they may suffer from force field…

This paper focuses on the study of the Filament Based Lamellipodium Model (FBLM) and the corresponding Finite Element Method (FEM) from a numerical point of view. We study fundamental numerical properties of the FEM and justify the further…

Cell Behavior · Quantitative Biology 2018-01-30 Nikolaos Sfakianakis , Aaron Brunk
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