  The recent observation of charge fractionalization in single
Tomanga-Luttinger liquids (TLLs) [Kamata et al., Nature Nanotech., 9 177
(2014)] opens new routes for a systematic investigation of this exotic quantum
phenomenon. In this Letter we perform measurements on two adjacent TLLs and put
forward an accurate theoretical framework to address the experiments. The
theory is based on the plasmon scattering approach and can deal with injected
charge pulses of arbitrary shape in TLL regions. We accurately reproduce and
interpret the time-resolved multiple fractionalization events in both single
and double TLLs. The effect of inter-correlations between the two TLLs is also
discussed.
