Table 1. Best fit parameters for 2D spectra of the two PbS quantum dot samples.

Asymmetrical error bars are given in parentheses for each fit parameter and result. The change in standard chemical potential is given for quantum dots with the most probable bandgap, ${\mathrm{\nu }}_{\mathit{m},0\to \mathrm{X}}={\mathrm{\nu }}_{0\to \mathrm{X}}^{\text{ens}}$. For reference, bi-exciton broadening increases the exciton to bi-exciton lineshape FWHM by 12.44 meV in the best fit for the covered sample at T_w = 1 ps. The half-width at half maximum (HWHM) is used to quantify the dynamical linewidth for the 1S-1S transition because its high frequency side is overlapped by transitions to higher energy states.

Fit parameters	Part-covered, Tw = 1 ps	Covered, Tw = 1 ps	Part-covered, Tw = 5 ps
Δstatic/e (meV)	23.9 (−0.5,+0.5)	27.4 (−0.7, +0.7)	23.8 (−0.5, +0.5)
δXX/e (meV)	7.4 (−2.8, +3.7)	4.8 (−3.5, +9.3)	5.8 (−2.6, +3.5)
ΔXX/e (meV)	19.7 (−3.4, +3.2)	16.3 (−7.3, +7.6)	15.6 (−2.7, +2.9)
wX → 0	6.9 (−1.9, +2.2)	7.2 (−4.4, +6.5)	5.2 (−2.0, +2.1)
wX → XX	49.9 (−2.8, +8.8)	49.4 (−9.6, +20.8)	52.5 (−5.0, +9.0)
Fit results
χ2	2901	6256	7864
${\mathrm{\chi }}_{\mathrm{\nu }}^2$	1.04	1.99	2.83
HWHMdyn/e(meV)	36.0 (−0.4, +0.4)	42.6 (−0.6, +0.5)	36.4 (−0.6, +0.7)
${\mathrm{\Delta }\mathrm{\mu }}_{\mathit{m},0\to \mathrm{X}}^{\mathrm{o}}/\mathit{e}$ (eV)	0.97 (−0.01, +0.01)	0.97 (−0.03, +0.02)	0.97 (−0.02, +0.01)
$\mathit{h}{\mathrm{\nu }}_{0\to \mathrm{X}}^{\text{ens}}/\mathit{e}$ (eV)	1.070	1.069	1.070
$\mathit{h}{\mathrm{\nu }}_{\mathrm{X}\to 0}^{\text{ens}}/\mathit{e}$ (eV)	0.982	0.985	0.982