Fig. 1: Spectrum of a near-prolate asymmetric top.
From: Full quantum control of enantiomer-selective state transfer in chiral molecules despite degeneracy
a Energies eigenvalues are sketched up to E2,2 and labeled by the quantum numbers J, τ. The degenerate eigenstates in each level are labeled by the orientational quantum number M. By choosing a set of microwave fields resonant to particular transitions, only selected rotational levels are addressed. This is highlighted for the frequencies ω1 = (E2,−1 − E1,−1)/ℏ, ω2 = (E2,0 − E2,−1)/ℏ, and ω3 = (E2,0 − E1,−1)/ℏ in example (i), and ω1 = (E1,0 − E0,0)/ℏ, ω2 = (E1,1 − E1,0)/ℏ, and \({\omega }_{3}=({E}_{1,1}-{E}_{0,0})\left.\right)/\hslash\) in example (ii). b (i) and (ii) The subsystems of the asymmetric top resulting from resonant microwave driving with set of frequencies depicted in a (i) and a (ii), respectively, with the colored lines indicating transitions induced by x−, y−, and z− polarized fields with frequencies ω1 (orange), ω2 (pink), and ω3 (turquoise). Here, μa, μb, and μc are the Cartesian components of the dipole moment responsible for the transition indicated by the vertical bars. The small numbers indicate the states of the subsystems.
