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We have previously demonstrated that in the context of two-dimensional (2D)coherent electronic spectroscopy measured by phase modulation andphase-sensitive detection, an \emph{incoherent} nonlinear response, due topairs of photoexcitations produced via linear excitation pathways, contributeto the measured signal as unexpected background [Gr\'egoire et al., J.\ Chem.\Phys. \textbf{147}, 114201 (2017)]. Here, we simulate the effect of suchincoherent population mixing in the photocurrent signal collected from a GaAssolar cell by acting externally on the transimpedance amplifier circuit usedfor phase-sensitive detection, and we identify an effective strategy torecognize the presence of incoherent population mixing in 2D data. While wefind that incoherent mixing is reflected by cross-talk between the linearamplitude at the two time-delay variables in the four-pulse excitationsequence, we do not observe any strict phase correlations between the coherentand incoherent contributions, as expected from modelling of a simple system.

Identifying incoherent mixing effects in the coherent two-dimensional photocurrent excitation spectra of semiconductors