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

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Figure 4.25: Number (■) and temperature (●) <strong>of</strong> cooled atoms as a function<br />

<strong>of</strong> hp (height <strong>of</strong> the depopulation beam above the trough vertex). <strong>The</strong> positive<br />

slope <strong>of</strong> T (z)<br />

O reflects energy gained by atoms in free fall. For hp > 100µm,<br />

the additional energy increases the loss rate from the optical trough. For<br />

hp < 100µm spatial overlap <strong>of</strong> the pump beam and optical trough beams<br />

reduces the excitation probability and hence the capture rate. <strong>The</strong> highest<br />

phase-space density is achieved at hp = 41µm.<br />

overlap the depopulation beam. This partial occlusion <strong>of</strong> the depopulation<br />

beam decreases the chance an atom will undergo the depopulating transition,<br />

resulting in a decreased transfer rate.<br />

As discussed in Sec. 1.4 the recoil temperature Tr = 362 nK is the<br />

fundamental limit to the single-photon cooling process. However, as indicated<br />

in Fig. 4.25, the final temperatures achieved during the single-photon cooling<br />

process are well above this limit even for the small values <strong>of</strong> hp. If we where<br />

cooling a 1-D ensemble then this residual energy could only be attributed<br />

171

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