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Atom interferometers (AIs) on earth and in space offer good capabilities for measuring gravitational waves (GWs) in the mid-frequency deciHz band, complementing the sensitivities of the LIGO/Virgo and LISA experiments and enabling probes of…

General Relativity and Quantum Cosmology · Physics 2020-07-01 John Ellis , Ville Vaskonen

We propose two distinct atom interferometer gravitational wave detectors, one terrestrial and another satellite-based, utilizing the core technology of the Stanford 10 m atom interferometer presently under construction. Each configuration…

General Relativity and Quantum Cosmology · Physics 2009-01-07 Savas Dimopoulos , Peter W. Graham , Jason M. Hogan , Mark A. Kasevich , Surjeet Rajendran

We describe the operation of a light pulse interferometer using cold 87Rb atoms in reduced gravity. Using a series of two Raman transitions induced by light pulses, we have obtained Ramsey fringes in the low gravity environment achieved…

Estimating covariances between financial assets plays an important role in risk management. In practice, when the sample size is small compared to the number of variables, the empirical estimate is known to be very unstable. Here, we…

Computational Engineering, Finance, and Science · Computer Science 2019-04-19 Rajbir-Singh Nirwan , Nils Bertschinger

Independent component analysis is a core framework within blind source separation for recovering latent source signals from observed mixtures under statistical independence assumptions. In this work, we propose PDGMM-VAE, a source-oriented…

Machine Learning · Statistics 2026-04-24 Yuan-Hao Wei , Yan-Jie Sun

We develop a practical way of addressing the Errors-In-Variables (EIV) problem in the Generalized Method of Moments (GMM) framework. We focus on the settings in which the variability of the EIV is a fraction of that of the mismeasured…

Econometrics · Economics 2025-11-11 Kirill S. Evdokimov , Andrei Zeleneev

We design an adaptive virtual element method (AVEM) of lowest order over triangular meshes with hanging nodes in 2d, which are treated as polygons. AVEM hinges on the stabilization-free a posteriori error estimators recently derived in [8].…

Numerical Analysis · Mathematics 2023-02-28 L. Beirão da Veiga , C. Canuto , R. H. Nochetto , G. Vacca , M. Verani

Gaussian process latent variable models (GPLVM) are a flexible and non-linear approach to dimensionality reduction, extending classical Gaussian processes to an unsupervised learning context. The Bayesian incarnation of the GPLVM Titsias…

Machine Learning · Computer Science 2022-10-31 Vidhi Lalchand , Aditya Ravuri , Neil D. Lawrence

We present an approach to experimentally evaluate gravity gradient noise, a potentially limiting noise source in advanced interferometric gravitational wave (GW) detectors. In addition, the method can be used to provide sub-percent…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Matone , P. Raffai , S. Marka , R. Grossman , P. Kalmus , Z. Marka , J. Rollins , V. Sannibale

In this paper, we consider a pressure-velocity formulation of the heterogeneous wave equation and employ the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to solve this problem. The proposed method…

Numerical Analysis · Mathematics 2020-10-06 Eric Chung , Sai-Mang Pun

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

The random intensity of noise approach to 1D Laval-Dubrulle-Nazarenko model is used to describe Lagrangian acceleration of a fluid particle in developed turbulence. Intensities of noises entering nonlinear Langevin equation are assumed to…

Statistical Mechanics · Physics 2007-05-23 A. K. Aringazin , M. I. Mazhitov

Performing interferometry in an optical lattice formed by standing waves of light offers potential advantages over its free-space equivalents since the atoms can be confined and manipulated by the optical potential. We demonstrate such an…

Atom interferometers measure quantum interference patterns in the wave functions of cold atoms that follow superpositions of different space-time trajectories. These can be sensitive to phase shifts induced by fundamental physics processes…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-16 Oliver Buchmueller , John Ellis , Ulrich Schneider

Recent advances in atom interferometry have led to the development of quantum inertial sensors with outstanding performance in terms of sensitivity, accuracy, and long-term stability. For ground-based implementations, these sensors are…

Computing the partition function $Z$ of a discrete graphical model is a fundamental inference challenge. Since this is computationally intractable, variational approximations are often used in practice. Recently, so-called gauge…

Machine Learning · Statistics 2018-03-06 Sungsoo Ahn , Michael Chertkov , Jinwoo Shin , Adrian Weller

We demonstrate how machine-learning based interatomic potentials can be used to model guest atoms in host structures. Specifically, we generate Gaussian approximation potential (GAP) models for the interaction of lithium atoms with…

The recent direct observation of gravitational waves has further emphasized the desire for fast, low-cost, and accurate methods to infer the parameters of gravitational wave sources. Due to expense in waveform generation and data handling,…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Richard O'Shaughnessy , Jonathan Blackman , Scott E. Field

We present a new scheme of compact atomic gravimeter based on atom interferometry. Atoms are maintained against gravity using a sequence of coherent accelerations performed by the Bloch oscillations technique. We demonstrate a sensitivity…

The modified Langevin noise formalism has been proposed for the correct charaterization of quantum electromagnetic fields in the presence of finite-sized lossy dielectric objects in free space. The main modification to the original one…

Quantum Physics · Physics 2023-06-21 Dong-Yeop Na , Thomas E Roth , Jie Zhu , Weng C Chew , Christopher J Ryu
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