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Single-Photon Atomic Cooling - Raizen Lab - The University of ...

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z<br />

y<br />

x<br />

magnetically trapped atoms<br />

crossed beam dipole trap<br />

Figure 4.3: Schematic <strong>of</strong> crossed laser beams above a cloud <strong>of</strong> magnetically<br />

trapped atoms. Gravity is in the −ˆz direction as shown in the figure.<br />

a magnetic field gradient <strong>of</strong> B ′ = 72 G/cm (see Sec. 2.4 for a definition <strong>of</strong><br />

this constant). Each dipole beam had 3.5 W <strong>of</strong> power and a 1/e 2 waist <strong>of</strong><br />

approximatly 150µm.<br />

As shown in Fig. 4.4 a small dimple is evident on the right hand side<br />

<strong>of</strong> the potential, however it is too small to create a bound state. Observe<br />

that another state, |F = 1,mF = 1〉, does have a bound state under identical<br />

conditions. <strong>The</strong> potential landscapes for the two states are shown in Fig. 4.5.<br />

<strong>The</strong> reason for formation <strong>of</strong> the bound state is that the magnetic tilt is only<br />

half <strong>of</strong> the value <strong>of</strong> the |F = 2,mF = 2〉 state.<br />

To transfer atoms from the magnetic trap into the optical trap, we<br />

added a depopulation beam parallel to a dipole beam. During the experimen-<br />

139<br />

g

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