Reconstruction of J_{i, i + 1} for a chain of N = 6 and ε_i = 0. Panel (a) shows the temporal evolution of population on site 1, and panel (b) shows its spectral distribution that provides λ_n and C_{1, n} as required by the reconstruction algorithm. In panel (c), applying the parameter estimation, the five unknown coupling strengths are estimated. The estimated values J′i,i+1 show good agreement with the actual values J_{i, i + 1}. Panel (d) presents the possible errors with the input values λ_n and C_{1, n} that may hamper the reconstruction procedure. For peak 1, the C_{1, n} below the threshold during the measurement is simply truncated. For peak 2, the broadening of the spectral peak results in the deviation of the measured eigenvalue λ′n from the actual λ_n.