Emergence of fluctuating hydrodynamics in chaotic quantum systems
Out-of-equilibrium dynamics of isolated quantum many-body systems is generally intractable. In chaotic quantum systems, however, local observables rapidly relax to their equilibrium values. Hence, simple translationally-invariant initial states are expected to quickly reach thermal equilibrium for local expectation values. The equilibration of fluctuations on the other hand goes beyond standard thermalization and is expected to happen on much longer timescales, since their approach to equilibrium is limited by the hydrodynamic build-up of large-scale fluctuations.



