Journal ArticleDOI
Theoretical tools for atom optics and interferometry
TLDR
In this article, a second-quantized field theory of massive spin one-half particles or antiparticles in the presence of a weak gravitational field treated as a spin two external field in a flat Minkowski background is presented.Abstract:
The development of high sensitivity and high accuracy atom interferometers requires new theoretical tools for their modelization: in this article we emphasize specifically a generalized Fresnel–Kirchhoff formula for atom optics in the form of ABCD matrices and covariant wave equations in the form of a Dirac equation for atom optics in the presence of gravito-inertial fields. As examples, we derive the phase shift for the atom gravimeter and the output of an atom laser. Some of the physics of the beam splitters is described. We present a second-quantized field theory of massive spin one-half particles or antiparticles in the presence of a weak gravitational field treated as a spin two external field in a flat Minkowski background. This theory is used to calculate and discuss relativistic phase shifts in the context of matter-wave interferometry (especially atom or antiatom interferometry). In this way, many effects are introduced in a unified relativistic framework, including spin-gravitation terms: gravitational red shift, Thomas precession, Sagnac effect, spin-rotation effect, orbital and spin Lense–Thirring effects, de Sitter geodetic precession and finally the effect of gravitational waves.read more
Citations
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Journal ArticleDOI
Limits to the sensitivity of a low noise compact atomic gravimeter
J.-L. Le Gouët,Tanja E. Mehlstäubler,J. Kim,Sébastien Merlet,André Clairon,Arnaud Landragin,F. Pereira Dos Santos +6 more
TL;DR: In this article, a detailed analysis of the most relevant sources of phase noise in an atomic interferometer is carried out, both theoretically and experimentally, and a simple and robust technique of vibration compensation is described, which is based on correcting the inter-ferometer signal by using the ac acceleration signal measured by a low-noise seismometer.
Journal ArticleDOI
The influence of transverse motion within an atomic gravimeter
Anne Louchet-Chauvet,Tristan Farah,Q. Bodart,André Clairon,Arnaud Landragin,Sébastien Merlet,Franck Pereira Dos Santos +6 more
TL;DR: In this article, the long-term stability and accuracy of a second generation cold atom gravimeter are investigated. But not those related to Coriolis acceleration and wavefront distortions, which are related to the transverse motion of the atomic cloud.
Journal ArticleDOI
Limits to the sensitivity of a low noise compact atomic gravimeter
J.-L. Le Gouët,Tanja E. Mehlstäubler,Jaewan Kim,Sébastien Merlet,André Clairon,Arnaud Landragin,Franck Pereira Dos Santos +6 more
TL;DR: In this paper, a detailed analysis of the most relevant sources of phase noise in an atomic interferometer is carried out, both theoretically and experimentally, and a simple and robust technique of vibration compensation is described, which is based on correcting the inter-ferometer signal by using the AC acceleration signal measured by a low-noise seismometer.
Journal ArticleDOI
Stability comparison of two absolute gravimeters: optical versus atomic interferometers
TL;DR: In this article, the authors report the direct comparison between the stabilities of two mobile absolute gravimeters of different technology: the LNE-SYRTE Cold Atom Gravimeter and FG5X#216 of the Universite du Luxembourg.
Journal ArticleDOI
The Sagnac effect: 20 years of development in matter-wave interferometry
Brynle Barrett,Rémy Geiger,I. Dutta,Matthieu Meunier,Benjamin Canuel,A. Gauguet,Philippe Bouyer,Arnaud Landragin +7 more
TL;DR: In this paper, the state-of-the-art optical Sagnac interferometers for inertial guidance and geophysics are compared with two-photon Raman transitions for manipulation of atomic wave packets.
References
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Journal ArticleDOI
The classical theory of fields
TL;DR: The principle of relativity Relativistic mechanics Electromagnetic fields electromagnetic waves as discussed by the authors The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in a gravitational field The gravitational field equation
Book
Relativistic Quantum Mechanics
James D. Bjorken,Sidney D. Drell +1 more
TL;DR: In this paper, the authors developed a propagator theory of Dirac particles, photons, and Klein-Gordon mesons and per-formed a series of calculations designed to illustrate various useful techniques and concepts in electromagnetic, weak, and strong interactions.
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Symplectic Techniques in Physics
TL;DR: The geometry of the moment map and motion in a Yang-Mills field and the principle of general covariance have been studied in this paper, where they have been shown to be complete integrability and contractions of symplectic homogeneous spaces.
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