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Experiments to Control Atom Number and Phase-Space Density in ...

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shifts. First a frequency shift of 103 MHz is caused by the AOM used <strong>to</strong> pick-off the<br />

spectroscopy beam. In addition the laser is locked <strong>to</strong> the |F = 2〉 → |F ′ = 2/3〉<br />

transition, which is detuned by 133 MHz from the |F = 2〉 → |F ′ = 3〉 transition. The<br />

pump beam is shifted by 88 MHz relative <strong>to</strong> the frequency of the probe beam by double-<br />

pass<strong>in</strong>g the 44 MHz AOM. This implies that the pump <strong>and</strong> the probe beam <strong>in</strong>teract with<br />

a<strong>to</strong>ms hav<strong>in</strong>g a velocity such that their Dopplershift corresponds <strong>to</strong> 44 MHz. Therefore<br />

the overall error signal is shifted by 44 MHz relative <strong>to</strong> the error-signal that would result<br />

if the beam <strong>in</strong>teracted with a<strong>to</strong>ms with zero velocity.<br />

Most of the light passes through the 103 MHz AOM <strong>and</strong> is deflected at a polariz<strong>in</strong>g<br />

beamsplitter cube. The beam then double passes an 80 MHz AOM with a 40 MHz<br />

b<strong>and</strong>width. The first-order diffraction beam double-passes a quarter waveplate <strong>and</strong> thus<br />

passes straight through the polariz<strong>in</strong>g beam splitter cube on the second <strong>in</strong>cidence. This<br />

beam is then distributed <strong>to</strong> the three slave lasers, where it serves as the seed required for<br />

<strong>in</strong>jection lock<strong>in</strong>g (see section 4.3.1.3). Because of the AOM double pass, the <strong>in</strong>jection<br />

beam, <strong>and</strong> thus the frequency of the slave lasers, can be tuned between 80 <strong>and</strong> 160 MHz<br />

<strong>to</strong> the red of the |F = 2〉 → |F ′ = 3〉 transition. 80 MHz AOMs, used as shutters for<br />

the beam, shift the frequency of the slave lasers, so that the f<strong>in</strong>al detun<strong>in</strong>gs are between<br />

0 <strong>and</strong> 80 MHz <strong>to</strong> the red of the |F = 2〉 → |F ′ = 3〉 transition. The zeroth order beam<br />

from the 80 MHz AOM is coupled <strong>in</strong><strong>to</strong> a Fabry-Perot cavity. This way it is easy <strong>to</strong><br />

ensure s<strong>in</strong>gle-mode operation of the MOT master laser.<br />

4.3.1.2 Repump Laser<br />

The design of the repump laser is identical <strong>to</strong> the design of the MOT master laser.<br />

The power required <strong>in</strong> the repump laser is significantly lower than the power required <strong>in</strong><br />

the MOT laser <strong>and</strong> it is therefore not necessary <strong>to</strong> further <strong>in</strong>crease the laser power.The<br />

distribution of the output power is shown <strong>in</strong> figure 4.11.<br />

After the optical isola<strong>to</strong>r a small amount of power is split off us<strong>in</strong>g a polariz<strong>in</strong>g<br />

beam splitter cube. This beam is used <strong>in</strong> the repump spectroscopy lock, which varies<br />

slightly from the MOT master spectroscopy setup, see figure 4.12. The spectroscopy<br />

beam is split <strong>in</strong><strong>to</strong> a strong pump beam <strong>and</strong> two co-propagat<strong>in</strong>g weak probe beams us<strong>in</strong>g<br />

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