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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Figure 8.11: Different shapes of MOT compression curves. The detun<strong>in</strong>g of the MOT<br />
beams is ramped l<strong>in</strong>early <strong>in</strong> all of these cases.<br />
(black) leads <strong>to</strong> the best a<strong>to</strong>m number <strong>in</strong> the optical dipole trap. (The number of a<strong>to</strong>ms<br />
<strong>in</strong> the MOT before load<strong>in</strong>g, <strong>and</strong> the f<strong>in</strong>al MOT beam detun<strong>in</strong>g is kept constant <strong>to</strong> ensure<br />
fair comparison.) Table 8.1 summarizes the different shapes of the compression curves<br />
used <strong>and</strong> the correspond<strong>in</strong>g a<strong>to</strong>m number loaded <strong>in</strong><strong>to</strong> the optical dipole trap. The a<strong>to</strong>m<br />
number is determ<strong>in</strong>ed after 1 second hold<strong>in</strong>g <strong>in</strong> the CO2 dipole trap. This ensures that<br />
all a<strong>to</strong>ms not captured <strong>in</strong> the dipole trap are removed. This data was taken before<br />
the problem of the optical dipole trap lifetime was solved, see section 8.5, <strong>and</strong> thus the<br />
number loaded <strong>in</strong><strong>to</strong> the trap was actually larger than the numbers reported <strong>in</strong> table 8.1.<br />
Curve Fitted curve shape a<strong>to</strong>m number<br />
1 6.22−6.20·s<strong>in</strong> 2 (0.00115·(t+55.199) 2 ) (8.19±0.72)×10 5<br />
2 5.80−0.340·exp( t<br />
3.53<br />
<br />
) (3.38 ± 0.04)×105<br />
3 0.0146+646·(1−exp(− (t+4.30)<br />
2.51 )) 7.69 · exp(− (t+4.30)<br />
1.32 ) (5.34±0.68)×10 5<br />
4 −0.160+5.69·s<strong>in</strong> 2 (0.147(t+10.5)) (7.97± 0.60)×10 5<br />
5 5.51−0.549·t (3.78±0.56)×10 5<br />
Table 8.1: Transfer <strong>in</strong><strong>to</strong> optical dipole trap for different compression curves. The a<strong>to</strong>m<br />
number is determ<strong>in</strong>ed 1 second after the MOT has been turned off, <strong>to</strong> ensure that only<br />
a<strong>to</strong>ms <strong>in</strong> the optical dipole trap are counted.<br />
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