Zeeman shifts

The accuracy of wavelength determination depends on the knowledge of the absolute laser wavelength and its specific Zeeman shift and on the measurement of the magnetic field strength H. All three parameters can be determined with high precision... 

Figure 8.5 (a) Zeeman-shifted energy levels, (b) Cross section for magnetic spin reorientation. 

A collinear magnetic field is used to Zeeman shift the transition out of resonance until the atom reaches the detection region. 

The 1.7% Co2+ ZnO DMS-QDs in Figure 34 were also examined by Zeeman spectroscopy in transmission mode. An average band-edge Zeeman shift of 53 cm 1/7 over the range of 0-7 T ( Fig. 35) was measured. The Zeeman data were analyzed in the mean-field approximation using Eq. 11, where x is the dopant mole fraction and (Sz) is the expectation value of the Sz operator of the spin Hamiltonian. 7/oa and iVop quantify the exchange interactions between the dopant and unpaired spins in the conduction (CB) and valence bands (VB), respectively (19, 159-161). 

The major advantage of ultracold trapped hydrogen is that one may be able to achieve a coherence time comparable with the natural lifetime, 122 ms. As described in H-l, [16], The magnetic trapping fields can be reduced to a level where the residual Zeeman shift of the transition is on the order of the natural linewidth of 1.3 Hz. The light-induced shift and the photoionization rate can be reduced to the same level. 

Zeeman shift required a careful analysis, so that also the 23P, Gj was measured. V. Hughes and collaborators measured all the three intervals separately, since the mixing of FS levels induced by the magnetic fields allowed even J = 2 to J = 0 transitions (we note as J a level that connect to the J manifold at zero magnetic field). Their published results have been recently modified by taking into account better the systematic effects due to the strong magnetic fields [12]. 

Figure 3.12. MO (left) and state (right) energies for a 2n-electron annulene (top) and for a 2 r-hole annulene (bottom). Full arrows indicate the two possible one-electron promotions (left) leading to an excitation from the ground state G to the two components B, and B of the degenerate excited state (right). The required photon is right-handed (R) or left-handed (L). Double arrows show the Zeeman shifts (adapted from Michl, 1984).

The shape function/ (v) is identical to/ (v, Vja) or/(v, vja) but is shifted along the energy axis (x-axis). When Zeeman shifts are small compared to the bandwidth, a Taylor expansion to the first power in the magnetic field can be used ... 

Measurements of the Hanle effect and level crossings at magnetic fields B 0 showed for higher intensities of the excitation laser nonlinear Zeeman shifts [840]. 

Fig. 7.6 Hanle-effect and level crossings at S 0 in the S Ps/i-state of the Rb-isotope. The insert shows the nonlinear Zeeman-shifts...

For the second method, where the laser frequency col is kept constant, the atomic absorption frequency must be altered during the deceleration of the atoms. This can be realized by Zeeman tuning (Fig. 9.7). In order to match the Zeeman shift to the changing Doppler shift Aco(z), the longitudinal magnetic field must have the z-dependence... 

The Zeeman shift for a term with magnetic quantum number Mj —J [Pg.653]

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