Description
Generalized hydrodynamics (GHD) is an enormously successful framework characterizing transport in one dimensional integrable and quasi-integrable systems. Euler scale GHD describes a two-dimensional compressible fluid evolving in phase space from an initial state without fluctuations, however, this approach becomes unwieldy when hydrodynamic corrections or integrability breaking effects are introduced. Here I present our results for an efficient algorithm using a semiclassical wavepacket gas (WPG), whose construction embeds the fluctuating-hydrodynamic extension of GHD. Our WPG approach allows a straightforward introduction of integrability breaking terms without significantly complicating the simulation. With this approach far-from-equilibrium long range correlations were investigated and found to persist even at long times where one-point correlation functions appear to have thermalized, implying that thermalization has not been reached at diffusive time scales. The work presented is, in part, contained in the preprint arXiv:250521000
