Radiative damping matrix

Fig. 3. The schematic representation of a virtual two photon process which is allowed when there is a nonzero matrix element of the radiative damping matrix rnm connecting two states n and m. This process is negligible unless n and m are nearly degenerate...

The radiative damping matrix F is of greater importance for discussing radiative transitions and is closely related to the Fermi Golden Rule. It is defined in a manner that accounts for some type of interference effects (i.e., anticrossing-type interference effects) ... 

Hu (sb) and T(sb) are the molecular Hamiltonian and the damping matrix, respectively, within the states s, 4>b, while A is the matrix of nonradiative decay rates which has only one nonzero matrix element As = Ass within this BO basis set. The states jx, 1 which diagonalize (25) are then the resonant states, each with some energy Er and some radiative and nonradiative decay rates Tr and Ar, respectively. When these resonances are overlapping, i.e.,... 

The Hamiltonian is made up of 2 terms, the molecular (H oi) and the molecule-field interaction (H ). LuP is a damping term in the density matrix due to transitions caused by interaction with the vacuum state [45], but also includes non-radiative processes and vibrational damping. LphP represents damping due to phase... 

Here, the first term accounts for free coherent evolution of the excitations under the Hamiltonian given by Eq. (11). The second term describes relaxation through radiative and collisional damping of the molecular excited states, as indicated in Section II,A. The damping operators anmatrix elements are given by Eqs. (25) and (42). The final term represents the initial excitation process discussed above, corresponding to unit impulse operation of the light source (AT very small). 

---