Non-equilibrium steady-states in conformal field theory

Understand

We present a construction of non-equilibrium steady states in one-dimensional quantum critical systems carrying energy and charge fluxes.

• This construction is based on a scattering approach within a real-time hamiltonian reservoir formulation.
• Using conformal field theory techniques, we prove convergence towards steady states at large time.
• We discuss in which circumstances these states describe the universal non-equilibrium regime at low temperatures.