Polarization moments, quantum ground state

Consider the Menon-Agarwal approach to the Autler-Townes spectrum of a V-type three-level atom. The atom is composed of two excited states, 1) and 3), and the ground state 2) coupled by transition dipole moments with matrix elements p12 and p32, but with no dipole coupling between the excited states. The excited states are separated in frequency by A. The spontaneous emission rates from 1) and 3) to the ground state 2) are Tj and T2, respectively. The atom is driven by a strong laser field of the Rabi frequency il, coupled solely to the 1) —> 2) transition. This is a crucial assumption, which would be difficult to realize in practice since quantum interference requires almost parallel dipole moments. However, the difficulty can be overcome in atomic systems with specific selection rules for the transition dipole moments, or by applying fields with specific polarization properties [26]. 

A seheme for the treatment of the solvent effeets on the eleetronie absorption speetra in solution had been proposed in the framework of the eleetrostatie SCRF model and quantum ehemieal eonfiguration interaetion (Cl) method. Within this approaeh, the absorption of the light by ehromophorie moleeules was eonsidered as an instantaneous proeess. Therefore, during the photon absorption no ehange in the solvent orientational polarization was expeeted. Only the eleetronie polarization of solvent would respond to the ehanged eleetron density of the solute moleeule in its exeited (Franek-Condon) state. Consequently, the solvent orientation for the exeited state remains the same as it was for the ground state, the solvent eleetronie polarization, however, must refleet the exeited state dipole and other eleetrie moments of the moleeule. Considering the SCRF Flamiltonian... 

The frequency no of a molecular transition to an upper level k) is 10 Hz below the frequency 14, of a fixed laser line. Assume that the molecules have no magnetic moment in the ground state, but /x = 0.5/u.b (mb = 9.27 x lO" J/T) in the upper state. What magnetic field B is necessary to tune the absorption line into resonance with the laser line How many Zeeman components are observed, if the lower level has the rotational quantum number J = and the upper 7 = 2, and the laser is (a) linearly and (b) circularly polarized ... 

It is well known (e.g., Elliott 1972) that to excellent first approximation the 4f electrons in the ground configurations of the metals are in the Hund-rule states (i.e., maximum S, maximum L consistent with that S, and J = L + S for n 7). Aside from relatively small conduction electron polarization contributions and crystal field effects which are more important for the lighter elements, the magnetic moments of the metals agree reasonably well with those specified by the Hund-rule quantum numbers of the 4f shell (Rhyne 1972, McEwen 1978). Our RHF calculations are done in the LS-average scheme, however, so that Eband for fh initial states must be corrected to properly describe the Hund-rule 4f states. Since the atomic 4f wave... 

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