Weak localization

Why can't we always predict where a ball will roll?

Weak localization

Why can't we always predict where a ball will roll?

Imagine you're at a carnival, playing a game where you throw a ball at a wall with random holes. You expect it to bounce back, but sometimes it just stops.

The ball's path is like a wave in a quantum system. Anderson localization occurs when disorder, like the holes in the wall, causes the wave to stop spreading, just as the ball stops moving.

Example

If the wall has a 50% chance of having a hole at any spot, you might expect the ball to stop after a few throws. But with Anderson localization, the ball stops after just one throw if the hole is right there.

Remember this

Anderson localization is the reason why waves in a disordered quantum system can suddenly stop spreading instead of continuing indefinitely.

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