Integrable Hamiltonian systems provide a rigorous framework in which complex dynamical behaviour can be understood through the existence of sufficient independent constants of motion. In particular, ...

Weak perturbations can drive an interacting many-particle system far from its initial equilibrium state if one is able to pump into degrees of freedom approximately protected by conservation laws.

Thermalization in classical systems can be well-understood by ergodicity. While ergodicity is absent for quantum systems, it is generally believed that the non-integrable quantum systems should ...