Quantum Mpemba Effect: Hot Cools Down Faster ✛ ✦
In the quantum world, the Mpemba effect — hot cools down faster than cold — works like a leaky bucket: a particle, like 'water', leaks out through invisible gaps in the walls. The higher the temperature, the more it 'splashes' and the faster it finds loopholes. Wave-particle duality allows it to turn into a wave and pass through barriers, and fuzziness — to try all possible routes at once. Upon reaching an absorbing boundary, the particle collapses into a single point, much like a measurement process, and disappears. The secret lies in interaction with the environment: contact with the wall destroys its quantum properties. Mathematically, this is described by Schrödinger's equation with additions from field theory and quantum informatics. An experiment is planned on an ultracold cloud of atoms using methods dating back to von Neumann.
The classical Mpemba effect depends on the cup's shape, but the quantum version does not. Push the trap walls to the horizon: the heated particle will still leak out first. Energy here is quantized — as if water in a bucket only has fixed pressure levels, and the distance to the edge doesn't change them.