Extended Data Fig. 1: Spin funnel pulse sequence and data analysis.

a, Pulse sequence used to measure the spin funnels. The system is initialized in the (4,0) singlet ground state, pulsed to variable ϵ for a fixed time te, and then pulsed to the PSB region for measurement. The dashed line indicates the (4,0)-(3,1) transition point, where ϵ=0. b, Voltage dependence of the valley splitting in dot 1, \({E}_{1}^{\nu }\), versus ϵ extracted from the second spin funnel (blue dots) and fit (red line). c, Voltage dependence of the valley splitting in dot 2, \({E}_{2}^{\nu }\), versus ϵ extracted from the third spin funnel (blue dots) and fit (red line). d, \({E}_{1}^{\nu }+{E}_{2}^{\nu }\) versus ϵ, extracted from the fourth spin funnel (blue dots) and prediction (red line). The prediction is the sum of the two fits from panels b and c.