Strongly correlated non-equilibrium steady states with currents --- quantum and classical picture

Understand

In this minireview we will discuss recent progress in the analytical study of current-carrying non-equilibrium steady states (NESS) that can be constructed in terms of a matrix product ansatz.

• We will focus on one-dimensional exactly solvable strongly correlated cases, and will study both quantum models, and classical models which are deterministic in the bulk.
• The only source of classical stochasticity in the time-evolution will come from the boundaries of the system.
• Physically, these boundaries may be understood as Markovian baths, which drive the current through the system.