Double Bragg diffraction: A tool for atom optics
arXiv:1308.5205 · doi:10.1103/PhysRevA.88.053608
Abstract
The use of retro-reflection in light-pulse atom interferometry under microgravity conditions naturally leads to a double-diffraction scheme. The two pairs of counterpropagating beams induce simultaneously transitions with opposite momentum transfer that, when acting on atoms initially at rest, give rise to symmetric interferometer configurations where the total momentum transfer is automatically doubled and where a number of noise sources and systematic effects cancel out. Here we extend earlier implementations for Raman transitions to the case of Bragg diffraction. In contrast with the single-diffraction case, the existence of additional off-resonant transitions between resonantly connected states precludes the use of the adiabatic elimination technique. Nevertheless, we have been able to obtain analytic results even beyond the deep Bragg regime by employing the so-called "method of averaging," which can be applied to more general situations of this kind. Our results have been validated by comparison to numerical solutions of the basic equations describing the double-diffraction process.
26 pages, 20 figures; minor changes to match the published version
References in corpus (9)
- Atom Interferometers
- Effective Hamiltonian Theory and Its Applications in Quantum Information
- Interferometry with Bose-Einstein Condensates in Microgravity
- Multi-axis inertial sensing with long-time point source atom interferometry
- Atom Interferometry with up to 24-Photon-Momentum-Transfer Beam Splitters
- Enhancing the area of a Raman atom interferometer using a versatile double-diffraction technique
- Atom-wave diffraction between the Raman-Nath and the Bragg regime: Effective Rabi frequency, losses, and phase shifts
- A universal matter-wave interferometer with optical ionization gratings in the time domain
- Off-resonant Raman transitions impact in an atom interferometer
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