# Atom interferometry in the presence of an external test mass

@article{Dubetsky2016AtomII, title={Atom interferometry in the presence of an external test mass}, author={B. Ya. Dubetsky and Stephen B. Libby and P. R. Berman}, journal={arXiv: Atomic Physics}, year={2016} }

The influence of an external test mass on the phase of the signal of an atom interferometer is studied theoretically. Using traditional techniques in atom optics based on the density matrix equations in the Wigner representation, we are able to extract the various contributions to the phase of the signal associated with the classical motion of the atoms, the quantum correction to this motion resulting from atomic recoil that is produced when the atoms interact with Raman field pulses, and…

## 9 Citations

### Atom interferometers’ phases at the presence of heavy masses; their use to measure Newtonian gravitational constant; optimization, error model, perspectives

- Physics
- 2017

The contribution to the phase of the atom interferometer caused by the gravity field of a massive test mass is considered. This contribution can be extracted by applying the double difference…

### Optimization of the atom interferometer phase produced by the set of cylindrical source masses to measure the Newtonian gravity constant

- Physics
- 2019

An analytical expression for the gravitational field of a homogeneous cylinder is derived. The phase of the atom interferometer produced by the gravity field of the set of cylinders has been…

### Mach-Zehnder atom interferometer. Quantum and Doppler corrections caused by the finite pulses' durations

- Physics
- 2018

A new approach to the theory of atoms' interaction with chirped Raman pulses is developed. When the pulses have sufficiently close effective wave lengths, which are smaller than the atomic cloud…

### Perturbative operator approach to high-precision light-pulse atom interferometry

- PhysicsPhysical Review A
- 2020

Light-pulse atom interferometers are powerful quantum sensors, however, their accuracy for example in tests of the weak equivalence principle is limited by various spurious influences like magnetic…

### Phase shift in atom interferometers: Corrections for nonquadratic potentials and finite-duration laser pulses

- PhysicsPhysical Review A
- 2019

We derive an expression for the phase shift of an atom interferometer in a gravitational field taking into account both the finite duration of the light pulses and the effect of a small perturbing…

### Newtonian gravitational constant measurement. All atomic variables become extreme when using a source mass consisting of three or more parts

- Physics
- 2020

Atomic interferometry methods used to measure the Newtonian gravitational constant. To improve the accuracy, one should measure the phase of an atomic interferometer at extreme values of atomic…

### Ramsey-Bordé Matter-Wave Interferometry for Laser Frequency Stabilization at 10^{-16} Frequency Instability and Below.

- PhysicsPhysical review letters
- 2019

We demonstrate Ramsey-Bordé (RB) atom interferometry for high performance laser stabilization with fractional frequency instability <2×10^{-16} for timescales between 10 and 1000s. The RB…

### Estimations of the Optical Equivalence Theorem for Opto-Mechanical Systems for Investigation in General Relativity and High-Energy Physics

- PhysicsComput.
- 2020

The optical equivalence principle is analyzed according to the possibility of describing unbounded states, and the suitable approximations are calculated for highly energetic phenomena. Among these…

### Quantum Sensing for High Energy Physics

- Physics, Education
- 2018

Report of the first workshop to identify approaches and techniques in the domain of quantum sensing that can be utilized by future High Energy Physics applications to further the scientific goals of…

## References

SHOWING 1-10 OF 59 REFERENCES

### Atom interferometer as a selective sensor of rotation or gravity

- Physics
- 2006

In the presence of Earth gravity and gravity-gradient forces, centrifugal and Coriolis forces caused by the Earth rotation, the phase of the time-domain atom interferometers is calculated with…

### Measurement of gravitational acceleration by dropping atoms

- PhysicsNature
- 1999

Laser-cooling of atoms and atom-trapping are finding increasing application in many areas of science. One important use of laser-cooled atoms is in atom interferometers. In these devices, an atom is…

### General Relativistic Effects in Atom Interferometry

- Physics
- 2008

Atom interferometry is now reaching sufficient precision to motivate laboratory tests of general relativity. We begin by explaining the non-relativistic calculation of the phase shift in an atom…

### High-precision gravity measurements using atom interferometry

- Physics
- 1998

We have built an atom interferometer that can measure g, the local acceleration due to gravity, with a resolution of Δg/g = 2 × 10−8 after a single 1.3 s measurement cycle, 3 × 10−9 after 1 min and 1…

### Optimization and error model for atom interferometry technique to measure Newtonian gravitational constant

- Physics
- 2014

Considered contribution to the phase of the atom interferometer caused by the gravity field of the massive proof mass. Demonstrated the method of finding the extrema of this contribution for 100kg…

### Enhancing the area of a Raman atom interferometer using a versatile double-diffraction technique.

- PhysicsPhysical review letters
- 2009

A new scheme for Raman transitions is demonstrated which realize a symmetric momentum-space splitting of 4 Planck's constant k, deflecting the atomic wave packets into the same internal state, applicable to all kinds of atomic sources.

### Demonstration of improved sensitivity of echo interferometers to gravitational acceleration

- Physics
- 2013

stimulated-echo configuration, the signal is observed without recoil modulation and exhibits a modulation at a single frequency as a function of pulse spacing. The three-pulse configuration is less…

### Precision Rotation Measurements with an Atom Interferometer Gyroscope

- Physics
- 1997

Matter-wave interferometry has the potential to be an extremely sensitive probe for inertial forces. For example, neutron interferometers have been used to measure the rotation of the Earth [1] and…