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The Kalman filter combines forecasts and new observations to obtain an estimation which is optimal in the sense of a minimum average quadratic error. The Kalman filter has two main restrictions: (i) the dynamical system is assumed linear…

Statistical Mechanics · Physics 2009-10-31 D. Sornette , K. Ide

In this work we study the influence of the newtonian noise on atom interferometers applied to the detection of gravitational waves, and we compute the resulting limits to the sensitivity in two different configurations: a single atom…

General Relativity and Quantum Cosmology · Physics 2013-10-17 Flavio Vetrano , Andrea Viceré

Kalman filters are widely used for object tracking, where process and measurement noise are usually considered accurately known and constant. However, the exact known and constant assumptions do not always hold in practice. For example,…

Computer Vision and Pattern Recognition · Computer Science 2021-12-23 Chao Jiang , Zhiling Wang , Shuhang Tan , Huawei Liang

We report on the implementation of ultracold atoms as a source in a state of the art atom gravimeter. We perform gravity measurements with 10 nm/s 2 statistical uncertainties in a so-far unexplored temperature range for such a high accuracy…

Atomic Physics · Physics 2018-12-26 R Karcher , A Imanaliev , S. Merlet , Franck Pereira dos Santos

The ensemble Kalman filter is widely used in applications because, for high dimensional filtering problems, it has a robustness that is not shared for example by the particle filter; in particular it does not suffer from weight collapse.…

Optimization and Control · Mathematics 2024-08-29 J. A. Carrillo , F. Hoffmann , A. M. Stuart , U. Vaes

We propose two distinct atom interferometer gravitational wave detectors, one terrestrial and another satellite-based, utilizing the core technology of the Stanford $10 \text{m}$ atom interferometer presently under construction. The…

General Relativity and Quantum Cosmology · Physics 2009-06-22 Savas Dimopoulos , Peter W. Graham , Jason M. Hogan , Mark A. Kasevich , Surjeet Rajendran

Absolute gravimeters deliver drift-free, high-precision measurements but are typically bulky and difficult to deploy, whereas relative gravimeters are lightweight and mobile but intrinsically limited by time-dependent drift. We demonstrate…

Time-varying gravity field survey is one of the important methods for seismic risk assessment. To obtain accurate timevarying gravity data, it is essential to establish a gravity reference, which can be achieved using absolute gravimeters.…

Laser frequency noise is a dominant noise background for the detection of gravitational waves using long-baseline optical interferometry. Amelioration of this noise requires near simultaneous strain measurements on more than one…

Quantum Physics · Physics 2013-04-30 Peter W. Graham , Jason M. Hogan , Mark A. Kasevich , Surjeet Rajendran

The effective quantum field theory description of gravity, despite its non-renormalizability, allows for predictions beyond classical general relativity. As we enter the age of gravitational wave astronomy, an important and timely question…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Thiago Guerreiro , Francesco Coradeschi , Antonia Micol Frassino , Jennifer Rittenhouse West , Enrico Junior Schioppa

Existing LiDAR-Inertial Odometry (LIO) systems typically use sensor-specific or environment-dependent measurement covariances during state estimation, leading to laborious parameter tuning and suboptimal performance in challenging…

Robotics · Computer Science 2025-08-01 Xupeng Xie , Ruoyu Geng , Jun Ma , Boyu Zhou

We present the full evaluation of a cold atom gyroscope based on atom interferometry. We have performed extensive studies to determine the systematic errors, scale factor and sensitivity. We demonstrate that the acceleration noise can be…

Atomic Physics · Physics 2015-05-13 A. Gauguet , Benjamin Canuel , Thomas Lévèque , Walid Chaibi , Arnaud Landragin

Estimation of a dynamical system's latent state subject to sensor noise and model inaccuracies remains a critical yet difficult problem in robotics. While Kalman filters provide the optimal solution in the least squared sense for linear and…

Robotics · Computer Science 2022-02-10 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

In this paper, we show that an atom interferometer inertial sensor, when associated to the auxiliary measurement of external vibrations, can be operated beyond its linear range and still keep a high acceleration sensitivity. We propose and…

Atoms from an otherwise unconfined 87Rb condensate are shown to be suspended against gravity using repeated reflections from a pulsed optical standing wave. Reflection efficiency was optimized using a triple-pulse sequence that,…

Atomic Physics · Physics 2009-02-03 K. J. Hughes , J. H. T. Burke , C. A. Sackett

In high-precision atomic gravimeters, a rest mass is needed to provide a gravity reference, which is typically the retro-reflecting mirror of the Raman laser beams that addresses the two hyperfine ground states of the specific free-falling…

Atomic Physics · Physics 2022-10-18 Fong En Oon , Rainer Dumke

The factor graph approach to discrete-time linear Gaussian state space models is well developed. The paper extends this approach to continuous-time linear systems/filters that are driven by white Gaussian noise. By Gaussian message passing,…

Information Theory · Computer Science 2013-01-22 Lukas Bolliger , Hans-Andrea Loeliger , Christian Vogel

About 300 experiments have tried to determine the value of the Newtonian gravitational constant, G, so far, but large discrepancies in the results have made it impossible to know its value precisely. The weakness of the gravitational…

Atomic Physics · Physics 2014-12-30 G. Rosi , F. Sorrentino , L. Cacciapuoti , M. Prevedelli , G. M. Tino

This short review is intended as a colloquium-level summary, for the Snowmass 2021 process, on recent theoretical results on infrared observables in quantum gravity. We rely on simple physical arguments, most notably a random walk…

General Relativity and Quantum Cosmology · Physics 2022-05-05 Kathryn M. Zurek

A recent proposal describes space based gravitational wave (GW) detection with optical lattice atomic clocks [Kolkowitz et. al., Phys. Rev. D 94, 124043 (2016)] [1]. Based on their setup, we propose a new measurement method for…

General Relativity and Quantum Cosmology · Physics 2020-05-15 Feifan He , Baocheng Zhang
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