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Journal of Zhejiang University. Science A

Interferometric measurement of an atomic wave function by using a standing wave method

Zhengdong Liu, Zeng Liang, Yu Lin, Qinmin Pan, Yan Lü

Published Jul 1, 2000• 0 citations
Publisher

Abstract

In this paper, the authors present the results of their study on the scheme of reconstructing the atomic wave function by using a standing wave laser beam. The scheme effectively avoids the initial random phase problem of the running light wave of lasers. The paper presents the relation between measured data and the atomic wave function, whose reconstruction procedure is also analyzed.

DOI
10.1631/bf02910636

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In this paper, the authors present the results of their study on the scheme of reconstructing the atomic wave function by using a standing wave laser beam. The scheme effectively avoids the initial random phase problem of the running light wave of lasers. The paper presents the relation between measured data and the atomic wave function, whose reconstruction procedure is also analyzed.
We discuss a simple method to probe the wave function $\ensuremath{\psi}(x)$ describing the transverse center-of-mass motion of an atomic beam. We detect position distributions of the atoms after they have interacted with two counterpropagating laser beams. The resulting interference pattern depends crucially on the cross term ${\ensuremath{\psi}}^{*}(x)\ensuremath{\psi}(x\ensuremath{-}\ensuremath{\Delta}x)$, which finally allows us to reconstruct the phase of $\ensuremath{\psi}(x)$.
We consider an atomic beam at normal incidence with a standing wave of light with phase fluctuations and we evaluate the momentum distribution of the diffracted atoms after passing through the light beam. We consider the independent-increment model or the random-jump model for the phase of the light, and the random-jump model for the light frequency. In each of these three cases we distinguish the situation of independent or identical phases of the two counter-running light waves that compose the standing wave. For identical phases, the momentum distribution seems to be sensitive mainly to the spectrum of the light, whereas for independent phases higher correlation functions are also important.