  This review illustrates how Local Fermi Liquid (LFL) theories describe the
strongly correlated and coherent low-energy dynamics of quantum dot devices.
This approach consists in an effective elastic scattering theory, accounting
exactly for strong correlations. Here, we focus on the mesoscopic capacitor and
recent experiments achieving Coulomb-induced quantum state transfer. Extending
to out-of-equilibrium regimes, aiming at triggered single electron emission, we
illustrate how inelastic effects become crucial, requiring approaches beyond
LFLs, shedding new light on past experimental data, by showing clear
interaction effects in the dynamics of mesoscopic capacitors.
