In this letter, we apply an optical setup to simulate the coherent evolution of an atomic wavepacket under the action of a standing-wave optical pulse sequence. Predicted population oscillations in J. Opt. Soc. Am. B 39, 3012 (2022) have been observed, and the beam divergence angle, which corresponds to the atomic momentum width, has been obtained by fitting the data. Consequently, we confirm the viability of employing standing-wave optical pulse sequences for measuring the ultra-narrow momentum distribution of atoms. In addition, we introduce a fitting method suitable for data obtained under non-ideal experimental conditions, which serves as a reference for similar experiments in atomic ultra-low temperature measurements. •We confirm the viability of employing atom interferometry to measure the temperature of ultracold atoms.•We develop a fitting method for the data obtained under non-ideal conditions.•It provides a sensitive method for measuring the divergence angle of Gaussian beams.