Fig. 3: Quantum tomography of rotational wavepacket of nitrogen molecule.
From: Quantum state tomography of molecules by ultrafast diffraction

The a moduli and b phases of density matrix elements. Within each m-block \(J=| m| ,| m| +1,\cdots \ ,{J}_{\max }\) (phases are at t = 0). The density matrix elements of opposite magnetic quantum numbers m and −m are identical (see Supplementary Eq. 21). Density matrix elements of higher m-blocks are not plotted due to their small moduli. c The wavepacket probability distribution Pr(θ, t), which is cylindrically symmetric in azimuthal direction of ϕ. The convergence of the procedure is illustrated in d, where the error of density matrix \(\epsilon (\hat{\rho })\) and the error of probability density ϵ(Pr) are defined in Supplementary Eq. 33 and 34.