Atom interferometry using $\delta$-kicked and finite duration pulse-sequences

Abstract

We investigate an atom interferometer in which large momentum differences between the arms are obtained by using quantum resonances in the atom optics $\delta$-kicked rotor. The interferometer can potentially measure the Talbot time (from which $h/m$ can be deduced), the local gravitational field, or can serve as a narrow velocity filter. We present an analytical analysis in the short pulse limit, and a numerical investigation for finite pulse durations. The sensitivity of the interferometer is improved by a moderate violation of the short pulse limit. Remarkably simple relations predict the optimal pulse duration, and the sensitivity of the interferometer.

A typo in Eq 15 of the originally published paper has been corrected in this version

References in corpus (9)

• Atom Interferometers
• New determination of the fine structure constant and test of the quantum electrodynamics
• Atom Interferometry with up to 24-Photon-Momentum-Transfer Beam Splitters
• Precision measurement of gravity with cold atoms in an optical lattice and comparison with a classical gravimeter
• Comparison between two mobile absolute gravimeters: optical versus atomic interferometers
• Atom-wave diffraction between the Raman-Nath and the Bragg regime: Effective Rabi frequency, losses, and phase shifts
• Quantum resonances and decoherence for delta-kicked atoms
• Loschmidt cooling by time reversal of atomic matter waves
• Quantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes

Cited by in corpus (1)

• Resonant transfer of large momenta from finite duration pulse sequences