optical memory based on the electromagnetically induced transparency (eit) in a double-atomic system provides a convenient way to convert the frequency, bandwidth or polarization of an optical pulse by storing it in one channel and retrieving it from another. this memory-based optical converter can be used to bridge the quantum nodes which have different physical properties in a quantum network. However, in real atoms, each energy level usually contains degenerate Zeeman states, which may lead to additional energy loss, as has been discussed in our recent theoretical paper (Tsai et al. in Phys. Rev. A 100, 063843). Here, we present an experimental study on the efficiency variation in the eit-memory-based optical polarization conversion in cold cesium atoms under Zeeman-state optical pumping. The experimental results support the theoretical predictions. Our study provides quantitative knowledge and physical insight useful for practical implementation of an eit-memory-based optical converter. The storage and retrieval of light pulses in atomic ensembles using the effect of electromagnetically induced transparency (EIT) in a three-level-system has been intensively studied. It has the important application to implement optical quantum memory for quantum information processing 1,2. By controlling the intensity, frequency or direction of the control field during the retrieval process, the temporal width, frequency or propagating direction of the retrieved probe pulses can be manipulated 3-6. With a four-level double-system, the wavelength of the retrieved probe pulses can be widely manipulated by turning on the control field of the second system during the retrieval process 6-9. This can serve as a quantum frequency converter for the interface between different quantum nodes in a quantum network. Furthermore, by turning on both control fields during retrieval, the stored atomic coherence can be simultaneously released into two separate photonic channels with the amplitude ratio controlled by the intensity ratio of the two control fields 5,7,8,10 , thereby serving as a frequency-domain tunable beam splitter 11 or two-color quantum memory 12. However, each energy level usually contains degenerate Zeeman states in real atoms, which may induce some complications in the memory-based optical conversion with a doublesystem. In a recent theoretical work 13 , we identified the two factors affecting the efficiency of the converted pulses. The first factor is the finite bandwidth effect of the optical pulses and the difference in the optical depth of the storage and retrieval channels. The second factor is the incompatibility between the stored ground-state coherence and the ratio of the probe and control Clebsch-Gordan coefficients of the conversion channel, which leads to a nonadiabatic energy loss in the retrieved pulses 6,7,14. We obtained an approximate relation for the conversion efficiency. In addition, we also numerically studied the dependence of those two factors on the Zeeman population distribution, facilitated by opt...