*Review* **Phase-Coherent Dynamics of Quantum Devices with Local Interactions**

### **Michele Filippone 1,\*, Arthur Marguerite 2, Karyn Le Hur 3, Gwendal Fève 4 and Christophe Mora 5**


Received: 22 April 2020; Accepted: 2 July 2020; Published: 31 July 2020

**Abstract:** 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 a Coulomb-induced quantum state transfer. Extending to out-of-equilibrium regimes, aimed 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.

**Keywords:** dynamics of strongly correlated quantum systems; quantum transport; mesoscopic physics; quantum dots; quantum capacitor; local fermi liquids; kondo effect; coulomb blockade
