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

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<strong>The</strong> significance <strong>of</strong> Isat is that at saturation the Rabi frequency has a value<br />

comparable to the natural decay rate Γ and that ρ22 reaches 1/2 <strong>of</strong> its max-<br />

imum value. With the substitution I = (1/2)cǫ0E 2 0, the saturation intensity<br />

can be written<br />

Isat = ǫ0cΓ 2 2<br />

4|ê · µ| 2<br />

(2.74)<br />

where ê is the direction <strong>of</strong> the polarization <strong>of</strong> the electric field. <strong>The</strong> value <strong>of</strong> the<br />

saturation intensity depends on the transition strength through Γ as well as the<br />

relative orientation <strong>of</strong> the polarization <strong>of</strong> light and transition dipole moment,<br />

but for simplicity the minimum value is usually reported as a representative<br />

figure. For the D2 (F = 2 → F ′ = 3) transition Isat = 3.577 13(74)mW/cm 2<br />

for light with isotropic polarization [43].<br />

A consequence <strong>of</strong> saturation is that the measured width <strong>of</strong> a transi-<br />

tion increases with increasing probe intensity due to a phenomena known as<br />

saturation broadening. <strong>The</strong> measured full width at half maximum (FWHM)<br />

increases with intensity as [70]<br />

2.5.2.2 Optical Molasses<br />

<br />

∆ωFWHM = Γ 1 + I<br />

1/2 . (2.75)<br />

Isat<br />

Optical Molasses is a laser cooling technique commonly used to reduce<br />

the temperature <strong>of</strong> an atomic vapor. Because atoms in a gas move in all direc-<br />

tions the applied laser beams must cool in all three dimensions by interacting<br />

with the gas along three orthogonal dimensions as shown in Fig. 2.7. In this<br />

55

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