%0 Journal Article %T AC-Stark shift and photoionization of Rydberg atoms in an optical dipole trap %A F. Markert %A P. W¨¹rtz %A A. Koglbauer %A T. Gericke %A A. Vogler %A H. Ott %J Physics %D 2010 %I arXiv %R 10.1088/1367-2630/12/11/113003 %X We have measured the AC-Stark shift of the $14D_{5/2}$ Rydberg state of rubidium 87 in an optical dipole trap formed by a focussed CO$_2$-laser. We find good quantitative agreement with the model of a free electron experiencing a ponderomotive potential in the light field. In order to reproduce the observed spectra we take into account the broadening of the Rydberg state due to photoionization. The extracted cross-section is compatible with previous measurements on neighboring Rydberg states. %U http://arxiv.org/abs/1011.0837v1