Zeeman sublevels

An electronic singlet S state (L = 0) does not interact at all with a magnetic field. In Figure 2, the Zeeman effect on an electronic transition between an atomic S state and a P state with zero spin is sketched. Radiative electric dipole transitions can occur between all three Zeeman sublevels of the P state and the S state, thus giving rise to three (closely spaced) spectral lines. 

Spin 1/2 levels is increased, and at // = 0 the zero-field is S(p) = as illustrated in Fig. 4. The Zeeman sublevels in an arbitrary configuration p in a weak field range up to the second order terms with respect to the field % defined by the angle 0 can be found as ... 

Zubairy 2002], allowing for the implementation of //gr-qubit logic gates. For the coherently driven atoms, the order of these nonlinearities is associated with the order of ground state coherence of the atomic Zeeman sublevels. Thus, the detection and characterization of the decoherence rate of high order atomic coherences is of vital practical importance. The article by Yu. P. Malakyan et al. is devoted to the issue of production and detection of the high order atomic coherences. 

Figure 1. A - 87Rb levels used in the experiments (Di line Zeeman sublevels are not shown in this simplified scheme the ground-state hyperfine splitting is 6.835 GHz). The write (retrieve) laser and Stokes (anti-Stokes) beam are illustrated in red (blue). B - After the optical pumping pulse (provided by the retrieve laser), the 1.6/us-long write pulse is followed by the retrieve pulse after a controllable delay Td. C - Schematic of the experimental setup. SI, S2 (AS1, AS2) denote the avalanche photodiodes for the Stokes (anti-Stokes) light.

We consider the NMOR in coherent atomic media, where the basic mechanism of NMOR is the laser-induced coherence between the Zeeman sublevels of atomic ground state and, hence, the detected NFS is sensitive to the damping rate of atomic coherence. An atomic transition is chosen such that both A- and M-systems are created. Under usual conditions, the contributions of these systems to the Faraday signal cannot be separated, because their manifestations are similar. On the other hand, it is well known that for a given state the highest order atomic coherence is uniquely associated with the atomic polarization moment (PM) of the same order. This means that if we are able to detect the NMOR signal separately from different PM, the corresponding atomic coher-... 

Table 8.16. Selection rules and polarizations for the transitions between the Zeeman sublevels of the ground state and those of the T6, T7, and T8 excited states of shallow acceptors in silicon and germanium for B // [001]. The point-group symmetries with...

The examples used here to illustrate the effects of a moderately strong magnetic field (Bz 1 Tesla) are from an experimental study of the NO nf <— A2E+ transition probed by double resonance excitation via a selected rotational-Zeeman sublevel of the A2E+(w = 1) state. Individual nf(N+)... 

Two different levels / and k) that are connected by an optical transition may be split into closely spaced sublevels / ) and A >. A narrow-band laser that is tuned to the transition / ) km) between specific sublevels selectively depletes the level / ) and increases the population of the level km) (Fig. 5.7). Examples of this situation are hyperfine components of two rotational-vibrational levels in two different electronic states of a molecule or Zeeman sublevels of atomic electronic states. 

In case of Zeeman sublevels or hfs levels, the allowed RF transitions are magnetic dipole transitions. Optimum conditions are then achieved if the sample is placed at the maximum of the magnetic field amplitude of the RF field. This can be realized, for instance, inside a coil that is fed by an RF current. For electric dipole transitions (for example, between Stark components in an external dc electric field) the electric amplitude of the RF field should be maximum in the optical pumping region. 

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