We review recent progress in understanding nearly integrable models within the framework
of generalized hydrodynamics (GHD). Integrable systems have infinitely many conserved …

Motivated by dynamical experiments on cold atomic gases, we develop a quantum kinetic
approach to weakly perturbed integrable models out of equilibrium. Using the exact matrix …

We consider the quantum reaction-diffusion dynamics in d spatial dimensions of a Fermi gas
subject to binary annihilation reactions A+ A→∅. These systems display collective …

The late-time dynamics of quantum many-body systems is organized in distinct dynamical
universality classes, characterized by their conservation laws and thus by their emergent …

We consider a fermionic Hubbard chain with an additional next-to-nearest neighbor hop**
term. We study the thermalization rates of the quasimomentum distribution function within a …

In this work, we study the quantum fluctuation dynamics in a Bose gas on a torus Λ=(LT) 3
that exhibits Bose–Einstein condensation, beyond the leading order Hartree–Fock …

We perform microscopic molecular dynamics simulations of particle chains with an onsite
anharmonicity to study relaxation of spatially homogeneous states to equilibrium, and …

We develop an efficient algorithm for a spatially inhomogeneous matrix-valued quantum
Boltzmann equation derived from the Hubbard model. The distribution functions are 2× 2 …

The Hubbard model is a simplified description for the evolution of interacting spin fermions
on ad‐dimensional lattice. In a kinetic scaling limit, the Hubbard model can be associated …

We devise a lattice Boltzmann method (LBM) for a matrix-valued quantum Boltzmann
equation, with the classical Maxwell distribution replaced by Fermi–Dirac functions. To …