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

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ent results in a magnetic field gradient <strong>of</strong> B ′ = 48 G/cm. Mode mismatch<br />

between the optically pumped atomic sample and the magnetic trap results<br />

in heating. <strong>The</strong> final temperature <strong>of</strong> the magnetically trapped sample was<br />

typically in range <strong>of</strong> 50-100µK. Under these conditions, the 1/e 2 radius <strong>of</strong><br />

the magnetically trapped atomic cloud was ∼ 500µm. <strong>The</strong>se atoms serve as<br />

the initial condition for further cooling via the single-photon cooling process<br />

during which time they are transfered into an optical trap.<br />

<strong>The</strong>n next step in the single-photon cooling process involves position-<br />

ing a conservative optical dipole trapped in the wings <strong>of</strong> the magnetically trap<br />

sample. As stated in the introduction to this chapter, the details <strong>of</strong> the opti-<br />

cal dipole trap evolved as the experiment progressed. To keep this overview<br />

simple, I will introduce an optical trap representative <strong>of</strong> the actual potentials<br />

used which encompasses their key features. <strong>The</strong> details <strong>of</strong> each iteration <strong>of</strong><br />

the optical trap used during the experiments are discussed in the next several<br />

sections. For now, consider a blue detuned optical sheet placed below the mag-<br />

netically trapped atomic sample. Because the sheet is tuned below the atomic<br />

resonance frequency, it produces a repulsive barrier. This barrier is capable <strong>of</strong><br />

levitating the atoms with sufficiently high optical intensity. Figure 4.1(a) il-<br />

lustrates the geometry under consideration. Figure 4.1(b) shows the potential<br />

landscape for atoms in the |F = 2,mF = 2〉 state due to the magnetic field<br />

gradient, gravity, and the optical sheet. For comparision, Fig. 4.1(c) shows<br />

the potential landscape for atoms in the |F = 1,mF = 0〉 state due to gravity<br />

and the optical sheet. Notice that atoms in this state are decoupled, to first<br />

134

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