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

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ed-detuned light) potential is created. In the experiments described <strong>in</strong> the follow<strong>in</strong>g<br />

chapters, an attractive dipole potential for lithium a<strong>to</strong>ms is formed by focus<strong>in</strong>g a CO2<br />

laser beam (λ = 10.6 µm), <strong>and</strong> repulsive potentials for rubidium a<strong>to</strong>ms are created by<br />

multiple laser beams at a wavelength of λ = 532 nm.<br />

2.7 Zeeman Slower<br />

A magne<strong>to</strong>-optical trap, see chapter 2.9, is able of captur<strong>in</strong>g a<strong>to</strong>ms at a speed of<br />

a few tens of m/s. However, <strong>to</strong> get a large enough number of lithium a<strong>to</strong>ms <strong>in</strong><strong>to</strong> the gas<br />

phase <strong>to</strong> create an effusive a<strong>to</strong>mic beam, it is necessary <strong>to</strong> heat the lithium reservoir <strong>to</strong> a<br />

temperature of about 350 ◦ C. At this temperature a<strong>to</strong>ms with<strong>in</strong> the effusive beam move<br />

at a mean velocity of 1100 m/s (the most probable velocity is about 860 m/s) <strong>and</strong> are<br />

thus <strong>to</strong>o fast <strong>to</strong> be captured directly <strong>in</strong> the MOT. The st<strong>and</strong>ard way of slow<strong>in</strong>g a<strong>to</strong>ms<br />

<strong>to</strong> lower speeds is <strong>to</strong> use a Zeeman slower [5–7, 22, 35]. Due <strong>to</strong> the higher vapor pressure<br />

of rubidium, a Zeeman slower is not needed <strong>in</strong> the rubidium setup. Instead a double<br />

MOT setup is used, see chapter 4.<br />

A Zeeman slower has two ma<strong>in</strong> components: a magnetic field which strength<br />

varies along the propagation axis of the a<strong>to</strong>mic beam, <strong>and</strong> a counter-propagat<strong>in</strong>g laser<br />

beam. This basic setup is schematically shown <strong>in</strong> figure 2.13. The Zeeman slower decel-<br />

erates a<strong>to</strong>ms <strong>in</strong> the effusive a<strong>to</strong>mic beam by transferr<strong>in</strong>g momentum from the scattered<br />

pho<strong>to</strong>ns from the resonant laser beam <strong>to</strong> the a<strong>to</strong>ms. With each scatter<strong>in</strong>g event an a<strong>to</strong>m<br />

<strong>in</strong> the a<strong>to</strong>mic beam loses on average a momentum of p = h/λ. In order <strong>to</strong> transfer mo-<br />

mentum efficiently from the pho<strong>to</strong>ns <strong>to</strong> the a<strong>to</strong>ms, the frequency of the laser beam has<br />

<strong>to</strong> be close <strong>to</strong> the resonant frequency. As the speed of the a<strong>to</strong>ms decreases, the transition<br />

frequency changes as a consequence of the Doppler-effect. A spatially vary<strong>in</strong>g external<br />

magnetic field (usually created by electromagnetic coils) <strong>in</strong>duces a Zeeman-shift of the<br />

energy levels of the a<strong>to</strong>ms. By match<strong>in</strong>g the Doppler- <strong>and</strong> Zeeman-shifts it is possible<br />

<strong>to</strong> ma<strong>in</strong>ta<strong>in</strong> a resonant scatter<strong>in</strong>g condition <strong>and</strong> thus a large scatter<strong>in</strong>g rate. The ideal<br />

magnetic field is thus given by<br />

ω0 + µBB(z)<br />

<br />

19<br />

= ωlaser +kv. (2.29)

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