A phase shift formulation for N-light-pulse atom interferometers: application to inertial sensing
arXiv:1701.04629 · doi:10.1364/JOSAB.33.001777
Abstract
We report on an original and simple formulation of the phase shift in N-light-pulse atom interferometers. We consider atomic interferometers based on two-photon transitions (Raman transitions or Bragg pulses). Starting from the exact analytical phase shift formula obtained from the atom optics ABCD formalism, we use a power series expansion in time of the position of the atomic wave packet with respect to the initial condition. The result of this expansion leads to a formulation of the interferometer phase shift where the leading coefficient in the phase terms up to T^k dependences (k >= 0) in the time separation T between pulses, can be simply expressed in terms of a product between a Vandermonde matrix, and a vector characterizing the two-photon pulse sequence of the interferometer. This simple coefficient dependence of the phase shift reflects very well the atom interferometer's sensitivity to a specific inertial field in the presence of multiple gravito-inertial effects. Consequently,we show that this formulation is well suited when looking for selective atomic sensors of accelerations, rotations, or photon recoil only, which can be obtained by simply zeroing some specific coefficients. We give a theoritical application of our formulation to the photon recoil measurement.
16 pages , 10 figures
References in corpus (21)
- Precision Measurement of the Newtonian Gravitational Constant Using Cold Atoms
- Sensitive Absolute Gravity Gradiometry Using Atom Interferometry
- New determination of the fine structure constant and test of the quantum electrodynamics
- Testing General Relativity with Atom Interferometry
- Atom Interferometry with up to 24-Photon-Momentum-Transfer Beam Splitters
- Continuous Cold-atom Inertial Sensor with Rotation Stability
- Limits to the sensitivity of a low noise compact atomic gravimeter
- Sensitivity limits of a Raman atom interferometer as a gravity gradiometer
- Gravitational Wave Detection with Atom Interferometry
- Simultaneous Dual-Species Matter-Wave Accelerometer
- Compact cold atom gravimeter for field applications
- Combination of Bloch oscillations with a Ramsey-Bordé interferometer : new determination of the fine structure constant
- Cold atom gravimetry with a Bose-Einstein Condensate
- Enhancing the area of a Raman atom interferometer using a versatile double-diffraction technique
- A spaceborne gravity gradiometer concept based on cold atom interferometers for measuring Earth's gravity field
- Low Frequency Gravitational Wave Detection With Ground Based Atom Interferometer Arrays
- Atom interferometer as a selective sensor of rotation or gravity
- Local gravity measurement with the combination of atom interferometry and Bloch oscillations
- Noise-Immune Conjugate Large-Area Atom Interferometers
- From Optical Lattice Clocks to the Measurement of Forces in the Casimir Regime
- Compact atomic gravimeter based on a pulsed and accelerated optical lattice
Cited by in corpus (6)
- Multiaxis atom interferometry with a single diode laser and a pyramidal magneto-optical trap
- Multi-Dimensional Atom Optics and Interferometry
- Phase shift in atom interferometers: corrections for non-quadratic potentials and finite-duration laser pulses
- Zero-velocity atom interferometry using a retroreflected frequency chirped laser
- Proof-of-principle demonstration of vertical gravity gradient measurement using a single proof mass double-loop atom interferometer
- Hyper Ramsey-Bordé matter-wave interferometry for robust quantum sensors