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arXiv · 1803.01235

Simplified landscapes for optimization of shaken lattice interferometry

C. A. Weidner·D. Z. Anderson
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Abstract

Motivated by recent results using shaken optical lattices to perform atom interferometry, we explore splitting of an atom cloud trapped in a phase-modulated ("shaken") optical lattice. Using a simple analytic model we are able to show that we can obtain the simplest case of $\pm2\hbar k_\mathrm{L}$ splitting via single-frequency shaking. This is confirmed both via simulation and experiment. Furthermore, we are able to split with a relative phase $θ$ between the two split arms of $0$ or $π$ depending on our shaking frequency. Addressing higher-order splitting, we determine that $\pm6\hbar k_\mathrm{L}$ splitting is sufficient to be able to accelerate the atoms in counter-propagating lattices. Finally, we show that we can use a genetic algorithm to optimize $\pm4\hbar k_\mathrm{L}$ and $\pm6\hbar k_\mathrm{L}$ splitting to within $\approx0.1\%$ by restricting our optimization to the resonance frequencies corresponding to single- and two-photon transitions between Bloch bands.

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C. A. Weidner, D. Z. Anderson. 2018-03-03. Simplified landscapes for optimization of shaken lattice interferometry. https://doi.org/10.1088/1367-2630%2Faad36c

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