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

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figure 4.19. This geometry forms an open trap, where the bot<strong>to</strong>m <strong>and</strong> the sides of the<br />

trap are created by laser sheets, while gravity conf<strong>in</strong>es a<strong>to</strong>m with<strong>in</strong> that trap.<br />

Figure 4.19: Optical trough.<br />

The optical trap, also called optical trough due <strong>to</strong> its shape, consists of four<br />

elliptical Gaussian beams. The beams are elongated along one direction us<strong>in</strong>g cyl<strong>in</strong>drical<br />

lenses. Two of the four beams travel along the x-direction <strong>and</strong> form a V-shape. These<br />

beams support the a<strong>to</strong>ms aga<strong>in</strong>st gravity. The other two seal off the optical trough by<br />

provid<strong>in</strong>g end-caps. These beams travel along the y-direction.<br />

Each of the four beams has about 700 mW of power, <strong>and</strong> a 1/e 2 waist of 10 µm×<br />

100 µm. The trap depth created by this potential is approximately 10 µK.<br />

The optical layout of the far-detuned laser is shown <strong>in</strong> figure 4.20. A series of<br />

half-wave plates <strong>and</strong> th<strong>in</strong> film polariz<strong>in</strong>g beam splitters separates the beam <strong>in</strong><strong>to</strong> three<br />

paths. Beams 1 <strong>and</strong> 2 pass through a spherical telescope. By plac<strong>in</strong>g the first lens<br />

on a translation stage, control over the beam curvature after the telescope is obta<strong>in</strong>ed.<br />

This degree of freedom makes it possible <strong>to</strong> adjust the location of the focus <strong>in</strong>side the<br />

glass cell. To create the ellipticity <strong>in</strong> the beams, each beam passes through a cyl<strong>in</strong>drical<br />

lens, caus<strong>in</strong>g astigmatism. The cyl<strong>in</strong>drical lenses are rotated 90 ◦ relative <strong>to</strong> each other,<br />

so that the ellipticity <strong>in</strong> beams 1 <strong>and</strong> 2 are orthogonal after their recomb<strong>in</strong>ation on a<br />

polariz<strong>in</strong>g beam splitter cube. A f = 63.5 mm spherical lens focuses the beams <strong>in</strong><strong>to</strong> the<br />

glass cell.<br />

63

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