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In quantum Hall edge states and in other one-dimensional interacting systems,charge fractionalization can occur due to the fact that an injected chargepulse decomposes into eigenmodes propagating at different velocities. If theoriginal charge pulse has some spatial width due to injection with a givensource-drain voltage, a finite time is needed until the separation between thefractionalized pulses is larger than their width. In the formalism ofnon-equilibrium bosonization, the above physics is reflected in the separationof initially overlapping square pulses in the effective scattering phase. Whenexpressing the single particle Green's function as a functional determinant ofcounting operators containing the scattering phase, the time evolution ofcharge fractionalization is mathematically described by functional determinantswith overlapping pulses. We develop a framework for the evaluation of suchdeterminants, describe the system's equilibration dynamics, and compare ourtheoretical results with recent experimental findings.

Transient Features in Charge Fractionalization, Local Equilibration and Non-equilibrium Bosonization