Article

# On the influence of resonance photon scattering on atom interference

10/2009; DOI:doi:10.1088/0031-8949/2010/T140/014017
Source: arXiv

ABSTRACT Here, the influence of resonance photon-atom scattering on the atom interference pattern at the exit of a three-grating Mach-Zehnder interferometer is studied. It is assumed that the scattering process does not destroy the atomic wave function describing the state of the atom before the scattering process takes place, but only induces a certain shift and change of its phase. We find that the visibility of the interference strongly depends on the statistical distribution of transferred momenta to the atom during the photon-atom scattering event. This also explains the experimentally observed (Chapman et al 1995 Phys. Rev. Lett. 75 2783) dependence of the visibility on the ratio d_p/\lambda_i = y'_{12} (2\pi/kd\lambda_i), where y'_{12} is distance between the place where the scattering event occurs and the first grating, k is the wave number of the atomic center-of-mass motion, $d$ is the grating constant and \lambda_i is the photon wavelength. Furthermore, it is remarkable that photon-atom scattering events happen experimentally within the Fresnel region, i.e. the near field region, associated with the first grating, which should be taken into account when drawing conclusions about the relevance of "which-way" information for the interference visibility. Comment: 9 pages, 1 figure

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24 Oct 2012

### Keywords

1 figure

9 pages

atom interference pattern

atomic center-of-mass motion

atomic wave function

Chapman

first grating

Fresnel region

grating constant

interference visibility

photon wavelength

photon-atom scattering event

photon-atom scattering events

resonance photon-atom scattering

scattering event

scattering process

statistical distribution

three-grating Mach-Zehnder interferometer

visibility

wave number