We apply the non-Abelian time evolving block decimation (TEBD) approach to study out of equilibrium properties of interacting many-body systems. We first show how we can use this approach to capture dynamical composite particle formation in SU(3) Hubbard models, where a large class of initial states is shown to develop into a negative temperature gas of strongly interacting ‘hadrons’. Then we extend non-Abelian TEBD to open systems with Lindbladian time evolution. As an illustration, we study the one-dimensional SU(2) Hubbard model on a semi-infinite lattice with localized particle loss at one end. We observe a ballistic front propagation with strongly renormalized front velocity, and operator entanglement is found to propagate faster than the depletion profile, preceding the latter.

* Gergely Zarand: BUTE, Budapest