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Experiments with Supersonic Beams as a Source of Cold Atoms

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Z − Velocity (m/s)<br />

100<br />

60<br />

30<br />

0<br />

−30<br />

−60<br />

−10 -6 -2 0 2 6 10<br />

Z − Position (mm)<br />

Y − Velocity (m/s)<br />

60<br />

40<br />

20<br />

0<br />

−20<br />

−40<br />

−60<br />

−4 −3 −2 −1 0 1 2 3 4<br />

Y − Position (mm)<br />

X − Velocity (m/s)<br />

60<br />

40<br />

20<br />

0<br />

−20<br />

−40<br />

−60<br />

−4 −3 −2 −1 0 1 2 3 4<br />

X − Position (mm)<br />

Figure 5.20: Simulated ph<strong>as</strong>e space distributions <strong>of</strong> the trapped hydrogen atoms. Of<br />

the 10,000 simulated atoms that enter the coilgun, 481 remain in the trapping volume<br />

for 10ms (around 10 oscillation periods) after the trap is turned on. The temperature<br />

<strong>of</strong> the trapped atoms is calculated to be 62 mK. Included in the figures is an ellipse<br />

which encloses the region <strong>of</strong> ph<strong>as</strong>e space which is lower than the overall trap depth.<br />

While the X and Y ph<strong>as</strong>e space distributions are contained in this region, the Z<br />

distribution is not. <strong>Atoms</strong> <strong>with</strong> energies in the Z direction that are greater than the<br />

overall trap depth can remain in the trap because the trap is significantly deeper in<br />

the Z direction, and the velocity components are not well mixed.<br />

144

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