Nonequilibrium Charge Dynamics of Tomonaga-Luttinger Liquids in Quantum Hall Edge Channels

Tomonaga-Luttinger liquids exhibit unique features that cannot be seen in ordinary Fermi liquids. Recent advancement in measurement techniques on 1D quantum Hall edge channels allows to reveal unique characteristics, such as spin-charge separation and nonthermal metastable states. In this review, an overview of nonequilibrium dynamics in quantum-Hall Tomonaga-Luttinger liquids is presented. After the introduction of a circuit model for collective excitations (bosons) in the system, transport eigenmodes in interaction- and disorder-dominated regimes are discussed with time-resolved charge measurements for the integer and fractional quantum Hall systems. Moreover, nonthermal steady states associated with the integrable model are studied with energy distribution functions obtained with a quantum dot spectrometer. These nontrivial dynamics can be extended to other 1D systems, including 2D topological insulators.