Momentum-space engineering of gaseous Bose-Einstein condensates

Abstract

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 for was demonstrated in an earlier experiment [L.\ Deng, et al., \prl {\bf 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 $N$ 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.

13 pages, 4 figures

References in corpus (9)

• Atom Interferometers
• Sensitive Absolute Gravity Gradiometry Using Atom Interferometry
• An Atom Laser with a cw Output Coupler
• An Atom Michelson Interferometer on a Chip Using a Bose-Einstein Condensate
• The wave nature of biomolecules and fluorofullerenes
• High efficiency symmetric beam splitter for cold atoms with a standing wave light pulse sequence
• Atom interferometry measurement of the electric polarizability of lithium
• High resolution amplitude and phase gratings in atom optics
• Momentum transfer using chirped standing wave fields: Bragg scattering

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• Improved optical standing-wave beam splitters for dilute Bose-Einstein condensates
• A momentum filter for atomic gas
• Detection of Applied and Ambient Forces with a Matterwave Magnetic-Gradiometer
• Tools for designing atom interferometers in a microgravity environment
• Direct observation of Feshbach enhanced $s$-wave scattering of fermions