Bosonization of Nonequilibrium Quantum Wire Networks

We develop a general approach to nonequilibrium nanostructures formed by one-dimensional channels coupled by tunnel junctions and/or by impurity scattering. As important applications of the formalism we consider tunneling into a voltage-biased quantum wire containing weak backscattering defects, electronic Fabry-Pérot and Mach-Zehnder interferometers realized in the integer quantum Hall systems, and the relaxation dynamics of a nonequilibrium Luttinger liquid after an interaction quench.