Phases and relativity in atomic gravimetry
arXiv:1207.6030 · doi:10.1088/0264-9381/30/6/065006
Abstract
The phase observable measured by an atomic gravimeter built up on stimulated Raman transitions is discussed in a fully relativistic context. It is written in terms of laser phases which are invariant under relativistic gauge transformations. The dephasing is the sum of light and atomic contributions which are connected to one another through their interplay with conservation laws at the interaction vertices. In the case of a closed geometry, a compact form of the dephasing is written in terms of a Legendre transform of the laser phases. These general expressions are illustrated by discussing two techniques used for compensating the Doppler shift, one corresponding to chirped frequencies and the other one to ramped variations.
7 pages, 1 figure
References in corpus (13)
- Atom Interferometers
- Detecting inertial effects with airborne matter-wave interferometry
- Testing General Relativity with Atom Interferometry
- An Atomic Gravitational Wave Interferometric Sensor (AGIS)
- General Relativistic Effects in Atom Interferometry
- Comparison between two mobile absolute gravimeters: optical versus atomic interferometers
- Quantum Physics Exploring Gravity in the Outer Solar System: The Sagas Project
- Atom gravimeters and gravitational redshift
- Influence of lasers propagation delay on the sensitivity of atom interferometers
- Testing Atom and Neutron Neutrality with Atom Interferometry
- Reply to: Atom gravimeters and the gravitational redshift
- Reply to the comment on: "Does an atom interferometer test the gravitational redshift at the Compton frequency?"
- Comment on: "Does an atom interferometer test the gravitational redshift at the Compton frequency?"