Alain Joye: Quantum Reset Models: Dynamics, Steady States and Entropy Production

Speaker
Alain Joye, Institut Fourier, Grenoble

Abstract
Quantum Reset Models provide popular and versatile effective dynamics of quantum systems interacting with one of several reservoirs, in the Markovian approximation. We will focus on the following version of these models: We consider a chain of three independent subsystems where the two subsystems at the ends of the chain are driven by reset Lindbladians, while the center system is driven by a Hamiltonian, and we couple them by a Hamiltonian term. Under generic assumptions, and for small enough coupling, we prove the existence of a unique steady state and analyse the large times dynamics of the system. Then we discuss the entropy production within this framework, and provide conditions ensuring its strict positivity, a signature of non-equilibrium steady state. Based on joints works with Géraldine Haack.