---

In recent years, considerable experimental efforts have been devoted to dynamically generate complex states and monitor their evolution. Despite remarkable advances, the theoretical principles behind the non-equilibrium dynamics of strongly correlated quantum matter are still far from being fully understood. In particular, very few studies have sought to clarify the influence of environmental couplings on the propagation of correlations. We attempt here to fill this gap. Considering first an interaction quench in the Bose-Hubbard model under the effect of dephasing, we observe that dissipation effectively speeds up the propagation of single-particle correlations while reducing their coherence. In contrast, for two-point density correlations, the initial ballistic propagation regime gives way to diffusion at intermediate times. In a second time, considering the XXZ spin-1/2 model in contact with a similar environment, we find this system to display aging. A dynamical phenomenon characterized by a breakdown of time-translation invariance, a slow non-exponential relaxation of two-time correlations and the presence of dynamical scaling.

---

Jean-Sebastian Bernier, University of Bonn
TP seminar room 0.03
Contact: Joachim Krug