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

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to minimize residual kinetic energy. Notice that in contrast to the potential<br />

produced by the optical box (Fig. 4.11), atoms do not have to climb a potential<br />

hill to reach the depopulation beam, resulting in a final population with less<br />

residual kinetic energy.<br />

In this iteration <strong>of</strong> the experiment, the cooling process was initiated by<br />

adiabatically lowering the magnetic trapping potential. This is done by linearly<br />

ramping down the current in the quadrupole coils in a time tramp, which is<br />

on the order <strong>of</strong> 1 s. As the magnetic field gradient is reduced, the atomic<br />

cloud expands and the turning point <strong>of</strong> each atom (in the vertical direction)<br />

approaches the depopulation beam which is held a fixed distance below the<br />

magnetic trap. To ensure that each atoms encounters the depopulation beam<br />

near its classical turning point, the adiabaticity condition 〈τB〉/tramp ≪ 1 must<br />

be satisfied, where 〈τB〉 is the average oscillation period in the magnetic trap.<br />

We found this scheme to be advantageous over simply moving the centers <strong>of</strong><br />

the traps together, as in the previous two sections, because it reduced optical<br />

trap loss due to atomic collisions with magnetically trapped atoms.<br />

As discussed above, when the atoms encounter the depopulation beam<br />

they are driven from the initial |F = 2,mF = 2〉 state into the 5 2 S1/2(F = 1)<br />

manifold. Once decoupled from the magnetic trap they fall into the optical<br />

trough where they are captured.<br />

Once the cooling process is complete, atoms transfered into the op-<br />

tical trough via single-photon atomic cooling are imaged using the vertical<br />

probe beam (see Sec. 3.4.1). To remove any residual atoms, all magnetic fields<br />

168

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