Quantum Integrable Systems

Quantum integrable systems are special quantum models where particles or fields interact in a way that allows exact solutions for their behavior. They possess a large number of conserved quantities, meaning certain properties remain constant over time, making the system highly predictable despite quantum complexity. These systems often appear in areas like condensed matter physics and statistical mechanics, helping scientists understand phenomena such as magnetism or quantum fluids with precise mathematical tools. Essentially, they serve as idealized, solvable models that shed light on the fundamental behaviors of interacting quantum particles.