Quantum ergodicity

Quantum ergodicity is a concept in physics that describes how, in certain quantum systems, the behavior of particles eventually explores all available states evenly over time. In essence, as the system evolves, the probability of finding a particle in any region becomes uniformly distributed, reflecting a kind of widespread "mixing." This idea links quantum behavior to classical notions of chaos and randomness, suggesting that highly complex quantum systems tend to distribute their properties evenly, preventing any particular regions from dominating. It provides insight into how quantum systems resemble chaotic classical systems when observed over long periods.