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Experiments to Control Atom Number and Phase-Space Density in ...

Experiments to Control Atom Number and Phase-Space Density in ...

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2 P3/2 (J=3/2)<br />

2 S1/2 (J=1/2)<br />

F=3<br />

F=2<br />

F=1<br />

F=0<br />

F=2<br />

F=1<br />

266.65 MHz<br />

156.95 MHz<br />

72.218 MHz<br />

6.835 GHz<br />

Repump<br />

m -3 -2 -1 0 1 2 3<br />

F<br />

Figure 2.17: MOT <strong>and</strong> repump transition <strong>in</strong> 87 Rb. The MOT transition drives the a<strong>to</strong>ms<br />

from |F = 2〉 <strong>to</strong> |F ′ = 3〉, the repump drives the |F = 1〉 <strong>to</strong> |F ′ = 2〉 transition.<br />

2 P3/2 (J=3/2)<br />

2 S1/2 (J=1/2)<br />

F=1/2<br />

F=3/2<br />

F=5/2<br />

F=3/2<br />

F=1/2<br />

4.4 MHz<br />

228.2 MHz<br />

Δ<br />

unresolved excited<br />

state structure<br />

Δ<br />

Repump<br />

m F -3/2 -1/2 1/2 3/2<br />

Figure 2.18: MOT <strong>and</strong> repump transition <strong>in</strong> 6 Li. The MOT transition drives the a<strong>to</strong>ms<br />

from |F = 3/2〉 the unresolved excited state. The repump transition goes from the<br />

|F = 1/2〉 <strong>to</strong> the excited state.<br />

on the other h<strong>and</strong> requires a significant amount of repump power. It is therefore ad-<br />

vantageous <strong>to</strong> use the repump light as a cool<strong>in</strong>g transition as well. This requires a <strong>to</strong>tal<br />

of six repump beams co-propagat<strong>in</strong>g with the MOT beams <strong>and</strong> the polarization <strong>to</strong> be<br />

identical <strong>to</strong> the MOT beam.<br />

Typical phase-space densities <strong>in</strong> a MOT are on the order of ρ ≈ 10 −6 . The<br />

25<br />

MOT<br />

MOT

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