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

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a) b) c) d) e)<br />

external<br />

potential<br />

one-way-wall<br />

Figure 1.5: (a) An atom is placed in an external confining potential along<br />

with a one-way-wall which is initially placed such that the atom does not have<br />

sufficient energy to reach it. (b) <strong>The</strong> one-way-wall is slowly swept towards<br />

the trap center, so that the atom first encounters it at its turning point. (c)<br />

<strong>The</strong> one-way-wall continues to sweep in, eventually returning the cold atom to<br />

the center <strong>of</strong> the external confining potential (d). (e) <strong>The</strong> one-way-wall moves<br />

away from the region containing the atoms.<br />

the increase in potential energy <strong>of</strong> the atom [21]. This is completely analogous<br />

to the fact that the work done by an ideal elevator is equal to the change in<br />

the potential energy <strong>of</strong> its occupants. After sweeping through the center <strong>of</strong><br />

the external confining potential the atom remains trapped at its center, but is<br />

now cold [Fig. 1.5(d)]. <strong>The</strong> one-way-wall continues its sweep out <strong>of</strong> the region<br />

<strong>of</strong> the atom [Fig. 1.5(e)].<br />

Because this scheme is fundamentally a single atom process, it works<br />

equally well on an ensemble <strong>of</strong> non-interacting atoms. To work on an ensemble<br />

the one-way-wall must be initially positioned such that the most energetic atom<br />

in the group does not have sufficient energy to reach it (Fig. 1.6). <strong>The</strong> rate<br />

at which the one-way-wall is swept must be slow enough to allow all atoms in<br />

the ensemble to reach it with negligible kinetic energy. Because this technique<br />

operates at the single particle level it does not rely on a specific form <strong>of</strong> inter-<br />

14

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