A quantum system, isolated from the environment and initially in a single, “pure” quantum state, will evolve in time according to the Schrodinger equation, that is, it will remain in a pure state for all times. This is also true for a many-body quantum system. At first sight, this fundamental feature of quantum dynamics appears impossible to reconcile with experimental observations that show a sufficiently complex quantum system typically relaxes fast to thermal behavior if left on its own. This constitutes the quantum thermalization problem.
Thermalization of Isolated Quantum Systems: If and How? Thermalization of Isolated Bose-Einstein Condensates by Dynamical Heat Bath Generation

Quantum thermalization
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- https://www.advancedsciencenews.com/quantum-system-thermalization/
- https://www.pi.uni-bonn.de/kroha/en/news/thermalization-of-isolated-quantum-systems-if-and-how/a-posazhennikova-m-trujillo-martinez-j-kroha-ann-phys-berlin-530-1700124-2018
- https://www.pi.uni-bonn.de/kroha/en/news/echoes-from-the-quantum-world
- https://www.pi.uni-bonn.de/kroha/en/news/time-resolved-collapse-and-revival-of-the-kondo-state-near-a-quantum-phase-transition