Abstract

Anyonic braiding is among the fundamental building blocks of topological quantum computation. Among the anyonic braiding processes, time-domain braiding requires the existence of non-equilibrium edges. During this talk, I will introduce our framework to effectively describe these braiding-involved non-equilibrium edges in terms of equilibrium languages, including (i) the effective equilibrium where both tunneling charge and heat currents vanish, and (ii) around this effective equilibrium, an effective linear response technique. The location of the effective equilibrium, and the corresponding linear-response transport coefficients directly reflect the fractional charge and statistics of the anyons involved, avoiding the need to measure higher-order current correlations. Moreover, the emergence of finite thermoelectric (Peltier and Seebeck) coefficients signifies the presence of real anyon tunneling and collisions (as opposed to virtual braiding in the time domain), intimately associated with the broken particle-hole symmetry, specific to anyonic gases.