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Conference on Lasers and Electro-Optics

Momentum-space engineering of gaseous Bose-Einstein condensates

Mark Edwards, Brandon Benton, Jeffrey Heward, Charles W. Clark

Published Jan 1, 2011• 1 citation
Publisher

Abstract

Bose-Einstein condensate momentum distributions can be shaped by standing-wave laser pulse sequences. We find that several momentum distributions, important in atom-interferometry applications, can be engineered with high fidelity with two or three pulses.
DOI
10.1364/qels.2011.qwb4

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We show how the momentum distribution of gaseous Bose-Einstein condensates can be shaped by applying a sequence of standing-wave laser pulses. We present a theory, whose validity was demonstrated in an earlier experiment [L. Deng et al., Phys. Rev. Lett. 83, 5407 (1999)], of the effect of a two-pulse sequence on the condensate wavefunction in momentum space. We generalize the previous result to the case of NNN pulses of arbitrary intensity separated by arbitrary intervals and show how these parameters can be engineered to produce a desired final momentum distribution. We find that several momentum distributions, important in atom-interferometry applications, can be engineered with high fidelity with two or three pulses.
Summary form only given. In a recent experiment, performed at the National Institute of Standards and Technology (NIST), a Mach-Zender type matter-wave interferometer was demonstrated using a sequence of laser pulses applied to a gaseous Bose-Einstein condensate. Matter-wave interferometers are essential tools for probing optically manipulated Bose-Einstein condensates (BECs) and the use of a sequence of laser pulses should enable experimenters to implement a variety of interferometer types tailored for particular applications.
Quantum phase engineering is demonstrated with two techniques that allow the spatial phase distribution of a Bose-Einstein condensate (BEC) to be written and read out. A quantum state was designed and produced by optically imprinting a phase pattern onto a BEC of sodium atoms, and matter-wave interferometry with spatially resolved imaging was used to analyze the resultant phase distribution. An appropriate phase imprint created solitons, the first experimental realization of this nonlinear phenomenon in a BEC. The subsequent evolution of these excitations was investigated both experimentally and theoretically.
Atomic interferometry is very useful in fundamental studies of coherence, decoherence and phase shifts and for practical precision measurements, with the example of gravimeters, gyroscopes, and gradiometers (Cronin et al., 2009). Bose-Einstein Condensate (BEC) based atomic interferometry provides high contrasts, long integration times and the possible use of small devices (Baumgartner et al., 2010; Sapiro et al., 2009a; Torii et al., 2000). In such atomic interferometry, coherent momentum manipulation is very effective for splitting and recombining the condensate (Deng et al., 1999; Kozuma, Deng et al., 1999; Ovchinnikov et al., 1999), for realizing the interference. In some precision measurements, the accumulated phase is positively correlated to the atomic velocity, so that the larger the atomic momentum is, the more precise the measurements can be if the measuring time is unchanged.