Mathematical Models for Transport in Macroscopic and Mesoscopic Systems - Abstract

Zagrebnov, Valentin

Time-dependent coupling and non-equilibrium steady state limit

We consider an example of two semi-infinite one-dimensional leads coupled to a quantum well by two time-dependent point ßwitchers". The initial condition in the remote past corresponds to the three decoupled systems each at its own thermal equilibrium, whereas in the remote future the ßwitchers" make the systems fully coupled. We define and study the non-equilibrium steady state generated by this dynamics.