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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Signal<br />
0<br />
Signal<br />
(a) (b)<br />
Signal<br />
Frequency Frequency<br />
(c) (d)<br />
0 0<br />
ω-ω m<br />
0<br />
Signal<br />
ω ω+ωm ω-ωm ω<br />
Frequency Frequency<br />
ω+ω m<br />
Figure 2.23: (a) Lorentzian l<strong>in</strong>eshape of an a<strong>to</strong>mic signal. (b) Dispersive signal of an<br />
a<strong>to</strong>mic transition. (c) In-phase / amplitude contribution of the FM error signal. The<br />
two l<strong>in</strong>es are centered around ω±ωm. (d) Out-of-phase / dispersive contribution of the<br />
FM error signal. The three dispersion l<strong>in</strong>es are centered around ω−ωm, ω <strong>and</strong> ω+ωm.<br />
2.13 Imag<strong>in</strong>g Techniques<br />
The st<strong>and</strong>ard technique <strong>to</strong> obta<strong>in</strong> <strong>in</strong>formation about an ultracold ensemble of<br />
a<strong>to</strong>ms is <strong>to</strong> use various imag<strong>in</strong>g techniques. In-situ <strong>and</strong> time-of-flight imag<strong>in</strong>g techniques<br />
allow the study of trapped a<strong>to</strong>mic samples. Two forms of imag<strong>in</strong>g known as absorption<br />
<strong>and</strong> fluorescence imag<strong>in</strong>g are used <strong>in</strong> the experiments described <strong>in</strong> this dissertation.<br />
Additional imag<strong>in</strong>g techniques <strong>in</strong>clude phase-contrast imag<strong>in</strong>g, dark-ground imag<strong>in</strong>g,<br />
<strong>and</strong> polarization-contrast imag<strong>in</strong>g [51].<br />
2.13.1 Absorption Imag<strong>in</strong>g<br />
Absorption imag<strong>in</strong>g relies on imag<strong>in</strong>g a resonant or near-resonant laser beam that<br />
passes through the a<strong>to</strong>mic cloud. When pass<strong>in</strong>g through the a<strong>to</strong>mic cloud, the a<strong>to</strong>ms<br />
will scatter pho<strong>to</strong>ns out of the beam, leav<strong>in</strong>g a shadow of the cloud on the laser beam<br />
profile.<br />
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