Analysis of a free oscillation atom interferometer

Abstract

We analyze a Bose-Einstein condensate (BEC) - based free oscillation atom Michelson interferometer in a weakly confining harmonic magnetic trap. A BEC at the center of the trap is split into two harmonics by a laser standing wave. The harmonics move in opposite directions with equal speeds and turn back under the influence of the trapping potential at their classical turning points. The harmonics are allowed to pass through each other and a recombination pulse is applied when they overlap at the end of a cycle after they return for the second time. We derive an expression for the contrast of the interferometric fringes and obtain the fundamental limit of performance of the interferometer in the parameter space.

24 pages, 5 figures, figures updated, typos corrected, 3 references added, 'Conclusions' Section added

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• Effect of trap anharmonicity on a free-oscillation atom interferometer
• Phase space tomography of cold-atoms dynamics in a weakly corrugated potential
• Quantum Atom Optics: Theory and Applications to Quantum Technology
• Revival of Raman Coherence of Trapped Atoms
• Dynamics within a tunable harmonic/quartic waveguide