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Compact Gravimeter with Spin-Squeezed Atoms in Optical Lattices

Yongguan Ke, Jiahao Huang, Min Zhuang, Bo Lu, Chaohong Lee

Published Apr 27, 2018• 0 citations
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Atomic interferometry in optical lattices is a new trend for developing a practical quantum gravimeter. Here, we propose a compact and portable gravimetry scheme with an ensemble of ultracold atoms in gravitationally tilted spin-dependent optical lattices. The fast coherent separation and recombination of atoms can be realized via polarization-synthesized optical lattices. The input atomic wave packet is coherently split into two parts by a spin-dependent shift and a subsequent $\frac{\ensuremath{\pi}}{2}$ pulse. Then the two parts are held for accumulating a relative phase related to the gravity. Lastly the two parts are recombined for interference by a $\frac{\ensuremath{\pi}}{2}$ pulse and a subsequent spin-dependent shift. The $\frac{\ensuremath{\pi}}{2}$ pulses not only preclude the spin-dependent energies in the accumulated phase, but also avoid the error sources, such as dislocation of optical lattices in the holding process. In addition, we develop an analytical method for the sensitivity in multipath interferometry.
We present a scheme of a compact atomic gravimeter based on atom interferometry. Atoms are maintained against gravity using a sequence of coherent accelerations performed by the Bloch oscillations technique. We demonstrate a sensitivity of $4.8\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}8}$ with an integration time of 4 min. Combining this method with an atomic elevator allows us to measure the local gravity at different positions in the vacuum chamber. This method can be of relevance to improve the measurement of the Newtonian gravitational constant GGG.
Atomic accelerometers and gravimeters are usually based on freely falling atoms in atomic fountains, which not only limits their size but also their robustness to environmental factors, such as tilts, magnetic fields, and vibrations. Such limitations have precluded their broad adoption in the field, for geophysics, geology, and inertial navigation. More recently, atom interferometers based on holding atoms in an optical lattice have been developed. Such gravimeters also suppress the influence of vibrations in the frequency range of ∼1 Hz and above by several orders of magnitude relative to conventional atomic gravimeters. Here, we show that such interferometers are robust to tilts of more than 8 mrad with respect to the vertical and can suppress the effect of even strong environmental magnetic fields and field gradients by using atoms in the F=3, 4 hyperfine ground states as co-magnetometers, potentially eliminating the need for shielding. We demonstrate gravimeter sensitivity of 0.7 mGal/Hz (1 mGal = 10 μm/s2) in a compact geometry where atoms only travel over millimeters of space.