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Single-Photon Atomic Cooling - Raizen Lab - The University of ...

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this figure only the relevant hyperfine manifolds are shown. <strong>The</strong> decay modes<br />

F = 2<br />

F = 1<br />

-1 0 1<br />

.02<br />

-2 -1 0 1 2<br />

.42<br />

-1 0 1<br />

Figure 2.12: Decay mode branching ratios for an atom decaying from the<br />

|F ′ = 1,mF = 1〉 state. <strong>The</strong> allowed spontaneous electric dipole transitions<br />

are indicated by red arrows. <strong>The</strong> value next to each arrow indicates the relative<br />

strength <strong>of</strong> each transition.<br />

allowed by a spontaneous electric dipole transitions from the |F ′ = 1,mF = 1〉<br />

state are indicated by red arrows. <strong>The</strong> value next to each arrow indicates<br />

the relative strength <strong>of</strong> the transition. When single-photon cooling is applied<br />

to 87 Rb only those atoms which decay into the |F = 1,mF = 0〉 state are<br />

considered when calculating quantities related to the cooling process, such as<br />

the final phase space density.<br />

<strong>The</strong> absolute value <strong>of</strong> any D2 transition can be found as a multiple <strong>of</strong><br />

〈J = 1/2||µ||J ′ = 3/2〉 which is determined from the natural lifetime <strong>of</strong> the<br />

71<br />

.05<br />

.42<br />

.10

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