A magnesium oxide crystal is like a row of soldiers: atoms stand in neat lines, and an electron runs along them. But if the electron lingers, the nearest atoms shift slightly from their positions, like neighbors in a rank turning their heads. The electron finds itself in a dip made of displaced atoms and can no longer move freely. That is how a polaron is born — a particle that drags along a cloud of lattice vibrations.

For a long time, it was thought that a polaron forms almost instantly, but there were no precise calculations. The authors of the new study built a theory that tracks every step of the process: how the electron loses energy, how atoms shift, and how the dip forms within trillionths of a second. It turns out that in magnesium oxide, a polaron localizes in about a hundred femtoseconds — a thousand times faster than the blink of an eye.

Now experimentalists have clear signatures: if you watch the crystal after a short laser pulse, you can see a characteristic trace — the electron first speeds up, then abruptly slows down as it puts on its coat. This will help in creating materials with controllable charge motion.