Experiments with Supersonic Beams as a Source of Cold Atoms
Experiments with Supersonic Beams as a Source of Cold Atoms
Experiments with Supersonic Beams as a Source of Cold Atoms
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(≈ 10 6 ) which amplifies the current at the anode <strong>of</strong> the MCP, the integral under the<br />
curve <strong>of</strong> the detected signal should correspond to the number <strong>of</strong> particles detected.<br />
Since the gains <strong>of</strong> the MCP and amplifier are known to an order <strong>of</strong> magnitude at best,<br />
the best estimate number <strong>of</strong> particles slowed per shot is 10 3 − 10 5 , where the beam<br />
slowed to 222 m/s h<strong>as</strong> approximately six times more atoms than the beam slowed<br />
to 55.8 m/s. Simulations indicate that the 64 stage slower h<strong>as</strong> an efficiency <strong>of</strong> a few<br />
percent for the 222 m/s beam to a few tenths <strong>of</strong> a percent for the 55.8 m/s beam,<br />
where efficiency is defined <strong>as</strong> the slowed fraction <strong>of</strong> the met<strong>as</strong>table beam entering the<br />
coilgun. Most <strong>of</strong> the met<strong>as</strong>table atoms are not in the mJ = 2 magnetic sublevel that<br />
is slowed, reducing the efficiency achieved. There is also another met<strong>as</strong>table state <strong>of</strong><br />
neon, 3 P0, which is probably produced by the discharge, and which is unslowed, again<br />
reducing the efficiency.<br />
Rather than keep the ph<strong>as</strong>e <strong>of</strong> the coils constant, a variable ph<strong>as</strong>e can be used<br />
<strong>as</strong> well. Figure 4.31 shows how the slowed peak changes when the ph<strong>as</strong>e <strong>of</strong> a coil is<br />
tuned in proportion to the velocity <strong>of</strong> the atoms entering the coil. As the beam is<br />
slowed, the coil is switched <strong>with</strong> the atoms closer to the center <strong>of</strong> the coil, <strong>with</strong> ph<strong>as</strong>e<br />
angle related to the velocity by the relation φn = φivn ,whereφnis the ph<strong>as</strong>e <strong>of</strong> the<br />
vi<br />
nth coil, vn is the velocity <strong>of</strong> the synchronous atom entering the nth coil, and φi and<br />
vi are the initial ph<strong>as</strong>e and velocity respectively. Letting the ph<strong>as</strong>e be adjusted in this<br />
manner leads to a decre<strong>as</strong>e in slowed flux, probably due the atoms being too close<br />
to the center <strong>of</strong> the coil when the coil is switched, reducing the longitudinal ph<strong>as</strong>e<br />
stability. However, if the ph<strong>as</strong>e adjustment is applied, <strong>with</strong> a cut<strong>of</strong>f maximum ph<strong>as</strong>e<br />
allowed, then the slowed beam actually h<strong>as</strong> greater flux. All three slowed peaks in<br />
figure 4.31 have the same target velocity at the end <strong>of</strong> the slower, 136 m/s, however<br />
the variable ph<strong>as</strong>e peaks have a greater slowed flux.<br />
Simulations indicate that the re<strong>as</strong>on the flux incre<strong>as</strong>es for variable ph<strong>as</strong>es is<br />
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