Experiments to Control Atom Number and Phase-Space Density in ...
Experiments to Control Atom Number and Phase-Space Density in ...
Experiments to Control Atom Number and Phase-Space Density in ...
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they have time <strong>to</strong> rethermalize <strong>to</strong> thermodynamic equilibrium. Thus T (z)<br />
O<br />
representation of the velocity distribution along the vertical dimension.<br />
is a direct<br />
Figure 5.7: A<strong>to</strong>m number (black squares) <strong>and</strong> vertical temperature (blue circles) of<br />
a<strong>to</strong>ms trapped <strong>in</strong> the optical trough as a function hp (height above the demon beam<br />
above the trough).<br />
The largest number of a<strong>to</strong>ms can be transferred <strong>in</strong><strong>to</strong> the optical trap at a demon<br />
beam position of hp = 100 µm, while the po<strong>in</strong>t correspond<strong>in</strong>g <strong>to</strong> the highest phase-<br />
space density is located at hp = 41 µm. To underst<strong>and</strong> the temperature <strong>and</strong> transfer<br />
efficiency curves, consider the a<strong>to</strong>ms be<strong>in</strong>g transferred <strong>in</strong><strong>to</strong> the |F = 1,mF = 1〉 state.<br />
After the a<strong>to</strong>ms encounter the demon beam they rega<strong>in</strong> k<strong>in</strong>etic energy by fall<strong>in</strong>g <strong>in</strong><strong>to</strong><br />
the bot<strong>to</strong>m of the trough. For a demon beam height hp > 100 µm, this energy ga<strong>in</strong> is<br />
sufficient <strong>to</strong> overcome the optical potential created by the optical trough, result<strong>in</strong>g <strong>in</strong><br />
loss from the gravi<strong>to</strong>-optical trap. One might therefore th<strong>in</strong>k that <strong>in</strong> order <strong>to</strong> m<strong>in</strong>imize<br />
this energy ga<strong>in</strong>, the height of the demon beam hp should be as close <strong>to</strong> the trough<br />
vertex as possible. However, as the demon beam gets closer <strong>to</strong> the trough vertex, the<br />
potentials of the demon beam <strong>and</strong> the optical trough beams start <strong>to</strong> overlap. This means<br />
that fewer a<strong>to</strong>ms are reach<strong>in</strong>g the demon beam, lead<strong>in</strong>g <strong>to</strong> a reduced transfer efficiency.<br />
By reduc<strong>in</strong>g the height hp below zero, the a<strong>to</strong>ms need <strong>to</strong> climb up the potential created<br />
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