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

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Chapter 2<br />

Cold A<strong>to</strong>mic Gases<br />

This dissertation is ultimately about a<strong>to</strong>mic cool<strong>in</strong>g, trapp<strong>in</strong>g, <strong>and</strong> the manip-<br />

ulation of cold a<strong>to</strong>mic ensembles. This chapter addresses the st<strong>and</strong>ard experimental<br />

techniques used <strong>in</strong> cold a<strong>to</strong>m experiments as well as the fundamental physical <strong>in</strong>terac-<br />

tions between a<strong>to</strong>ms <strong>and</strong> electromagnetic fields relevant <strong>to</strong> these techniques.<br />

2.1 87 Rubidium<br />

Rubidium (Rb), be<strong>in</strong>g an alkali metal, has only one electron <strong>in</strong> the valence shell.<br />

This common feature <strong>in</strong> alkali a<strong>to</strong>ms gives rise <strong>to</strong> a relatively simple energy level structure<br />

<strong>and</strong> makes alkali a<strong>to</strong>ms a popular choice for cold a<strong>to</strong>m experiments. The most abundant<br />

natural iso<strong>to</strong>pe of rubidium is 85 Rb (nuclear sp<strong>in</strong> I = 5/2), with a natural abundance of<br />

72.17(2)%. The work <strong>in</strong> this dissertation however was performed us<strong>in</strong>g 87 Rb (nuclear sp<strong>in</strong><br />

I = 3/2). 87 Rb has a half-life time of about 4.88×10 10 years <strong>and</strong> a natural abundance<br />

of 27.83(2)%. Rubidium melts at 312.46 K <strong>and</strong> boils at 961.15 K [15].<br />

The vapor pressure of rubidium is an important parameter for the experiment.<br />

Fortunately the vapor pressure of rubidium is high enough that a<strong>to</strong>ms can be trapped<br />

directly from the background pressure. The vapor pressure Pv <strong>in</strong> <strong>to</strong>rr for solid Rb is<br />

given <strong>in</strong> [16] by<br />

log10Pv = 2.881+4.857− 4215<br />

, (2.1)<br />

T<br />

where T is the temperature <strong>in</strong> Kelv<strong>in</strong>. Figure 2.1 shows the vapor pressure of solid<br />

rubidium.<br />

Some important physical properties of 87 Rb are summarized <strong>in</strong> table 2.1. A more<br />

complete summary of the properties of 87 Rb can be found <strong>in</strong> [17].<br />

3

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