A laser beam passes through a glass cell filled with cesium vapor. The atoms in the vapor dart around chaotically, like a crowd at a train station: each one enters the beam, spends a moment there, and flies back out. Their internal state, something like the orientation of a tiny magnet, changes under the influence of light. If all atoms were identical and stationary, the signal would be steady. But they move, and that motion messes up the picture.

When an atom enters the beam, its little magnet can point in any direction. It's as if each new commuter randomly chooses which hand to carry their suitcase. This randomness creates noise in the signal. The scientists measured this noise on a real setup and compared it with calculations. They found that at frequencies below 100 kHz, the main source of noise is the atoms' flight through the beam itself, not their internal transitions.

Understanding this noise is needed to build more sensitive sensors. Such sensors based on atomic vapors can measure magnetic fields with extreme precision and detect weak electric fields. Our theory helps separate the useful signal from the noise caused by the atoms themselves.