Figure 5.4: The temperature of the Yb cloud is provided for each hold time in the single beam trap for each of the two beam powers. The standard errors on the temperature are also provided.

Figure 5.5: The temperature of the Yb cloud is provided for each sweep across the harmonic radial trap frequency at different dipole trap depths. The associated standard errors on the temperature are also provided.

Figure 5.5 inset: The temperature of the Yb cloud is provided for the sweep across the fundamental radial trap frequency at a beam power of 13.1W. The associated standard errors on the temperature are also provided.


Figure 5.6: The radial trap frequency extracted from the Gaussian fits to these above data is provided, along with the estimated statistical error resulting from the fit.

Figure 5.7: The atom number in the single beam optical trap is provided for each MOT hold time shown in the figure. The standard errors on the atom number are also provided.

Figure 5.7 inset: The atom number in the single beam optical trap is provided for each single beam power shown in the figure. The standard errors on the atom number are also provided.

Figure 5.8: The trapped atom number is provided for each final MOT intensity (total). The standard error on the mean atom number is also given. The final MOT detuning is 1.25MHz red detuned of the 556nm transition.

Figure 5.9: The trapped atom number is provided for each final MOT detuning. The standard error on the mean atom number is also given. The final total MOT beam intensity is 4.6 ISat.


Figure 5.10: The optimum MOT detuning extracted from data are per the above is provided along with the associated statistical error estimated from the fit. This is provided for each MOT intensity for which the MOT was optimised. The theoretical curve is produced using the data in figure 4.19.

Figure 5.12: The light shift extracted from these data below, and for other single beam trap powers, are provided along with their standard errors.

Figure 5.12 inset: These data provided are the atom number extracted from absorption imaging following a pulse of MOT light, and are given for a number of detunings for this pulse. Statistical errors are also provided based on the mean atom number.

Figure 5.14: The mean vertical position of the atoms is provided for each hold time with with associated standard error.

Figure 5.16: The mean atom number and temperature are provided for each MOT loading time along with their associated standard errors.

Figure 5.17: The mean atom number, temperature and phase-space density are provided, along with standard errors for each final MOT beam detuning used in the experiment.

Figure 5.18: The mean atom number, temperature and phase-space density are provided, along with standard errors for each final total MOT beam intensity used in the experiment.

Figure 5.20: Each PSD measured for each atom number in the trap is provided along with its associated standard error. Statistical error on the atom number is not provided as it is insignificant in the analysis presented.

Figure 5.21: The folder contains a csv file of the integrated optical depth for each case presented in the figure. The images folder contains the averaged images used to produce these results.

Figure 5.22: The atom number remaining in the BEC as a function of hold time is provided, along with the standard error on the mean.

Figure 5.22 inset: The atom number in the BEC for each run of the experiment is provided.