On Landauer--B\"uttiker formalism from a quantum quench

Understand

We study transport in the free fermionic one-dimensional systems subjected to arbitrary local potentials.

• The bias needed for the transport is modeled by the initial highly non-equilibrium distribution where only half of the system is populated.
• Additionally to that, the local potential is also suddenly changed when the transport starts.
• For such a quench protocol we compute the Full Counting Statistics (FCS) of the number of particles in the initially empty part.