Ph.D. Thesis - Physics
Ph.D. Thesis - Physics
Ph.D. Thesis - Physics
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7-12 Magnetic fields due to a “triple-Z” wire configuration. . . . . . . . . . . . . 168<br />
7-13 J-coupling rates due to a “triple-Z” wire configuration as a function of trap<br />
size. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169<br />
7-14 Magnetic fields due to a “concentric rings” wire configuration. . . . . . . . . 170<br />
7-15 J-coupling rates as a function of trap size for the “concentric rings” wire<br />
configuration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170<br />
7-16 <strong>Ph</strong>otograph of the expander for the closed-cycle cryostat. . . . . . . . . . . 172<br />
7-17 <strong>Ph</strong>otograph of the exterior of the vacuum chamber surrounding the cryostat. 174<br />
7-18 The 4 K baseplate of the closed-cycle cryostat. . . . . . . . . . . . . . . . . 175<br />
7-19 The socket for the cryostat electrical connections. . . . . . . . . . . . . . . . 177<br />
7-20 <strong>Ph</strong>otographs of Uraniborg 2. . . . . . . . . . . . . . . . . . . . . . . . . . . 178<br />
7-21 Imaging optics mounted in the cryostat. . . . . . . . . . . . . . . . . . . . . 179<br />
7-22 Secular frequency data for Uraniborg 2. . . . . . . . . . . . . . . . . . . . . 181<br />
7-23 Calculated secular frequencies for Uraniborg 2. . . . . . . . . . . . . . . . . 181<br />
7-24 Images of ion crystals in Uraniborg 2. . . . . . . . . . . . . . . . . . . . . . 182<br />
8-1 Schematic of the experimental setup for ion-ion coupling over a wire. . . . . 191<br />
8-2 Diagram of the model used in our calculations. . . . . . . . . . . . . . . . . 192<br />
8-3 Equivalent circuit for two ions. . . . . . . . . . . . . . . . . . . . . . . . . . 196<br />
9-1 <strong>Ph</strong>otograph of the vacuum chamber used for the ion-wire coupling experiment.202<br />
9-2 Atomic level structure for the 40 Ca + ion and the Ca photoionization transitions.203<br />
9-3 <strong>Ph</strong>otograph of the 397 nm laser. . . . . . . . . . . . . . . . . . . . . . . . . 204<br />
9-4 <strong>Ph</strong>otograph of the 866 nm laser. . . . . . . . . . . . . . . . . . . . . . . . . 204<br />
9-5 <strong>Ph</strong>otograph of the microfabricated trap used for ion-wire coupling experiments.205<br />
9-6 <strong>Ph</strong>otograph of the fork holding the wire. . . . . . . . . . . . . . . . . . . . . 206<br />
9-7 Measured dc vertical compensation values as a function of the height of the<br />
wire above the ion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 208<br />
9-8 Horizontal (ωˆx) and vertical (ωˆy) secular frequencies as a function of the<br />
distance from the wire to the ion. . . . . . . . . . . . . . . . . . . . . . . . . 208<br />
9-9 Fit of the secular frequencies as a function of ion-wire distance. . . . . . . . 209<br />
9-10 Example Doppler recooling fit. Data points are an average of 200 measure-<br />
ments; error bars are statistical. . . . . . . . . . . . . . . . . . . . . . . . . . 210<br />
9-11 Ion heating rate in eV/s as a function of ion-wire distance. . . . . . . . . . . 210<br />
9-12 Ion heating rate in quanta/s as a function of ion-wire distance. . . . . . . . 211<br />
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