Copyright by Kirsten Viering 2006 - Raizen Lab - The University of ...

P f (r, θ, δ, τ) = 1
3 (sin2 √
3
(
4 τ β00 )·
(sinc 2 ( (δ + µB dB/dr · r/) τ
) + sinc
2
2 ( (δ − µB dB/dr · r/) τ
))
2
+sin 2 ( 1
2 τ β00 ) · sinc 2 δ τ
( )). (6.8)
2
Since one third of the transitions are insensitive to a change in the magnetic field, at
least one third of the initial population of the |F = 1〉 state will be transferred to the
|F = 2〉 state, while in the resonant Raman region up to 98.8% can be transferred. This
behaviour is shown in fig. 6.4.
Figure 6.4: The final state probability as a function of the position. 0 belongs to the
point of 0 magnetic field. The Raman detuning δ equals 0, the magnetic field gradient
is 150G/cm. The angle θ equals 0, i.e. the magnetic field points along the z-axis (atom
and lab frame coincide).
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