Relative Phase Data to 'Experimental observation of curved light-cones in a quantum field simulator', arXiv:2209.09132

<p><strong>Relative phase profiles and averaged density profiles for the results&nbsp;shown in&nbsp;&nbsp;arXiv:2209.09132</strong></p> <p>Each file &quot;phase_and_mean_density_scan_X.mat&quot; contains data for a measurement presented in the manuscript, where &quot;X&quot; is the corresponding scan number.<br> The following table shows the relevant scan number to measurement descriptions mentioned in the manuscript (see Table S1 in the SI Appendix).</p> <table align="center"> <thead> <tr> <th scope="col">Measurement description</th> <th scope="col">Scan number</th> </tr> </thead> <tbody> <tr> <td> <p>&nbsp; &nbsp; Homogeneous (main text)</p> </td> <td>&nbsp; &nbsp; 9185</td> </tr> <tr> <td> <p>&nbsp; &nbsp; Inhomogeneous with sharp edges&nbsp;</p> </td> <td>&nbsp; &nbsp; 10419</td> </tr> <tr> <td> <p>&nbsp; &nbsp; Inhomogeneous with smoothed edges</p> </td> <td>&nbsp; &nbsp; 8935</td> </tr> <tr> <td> <p>&nbsp; &nbsp; Homogeneous 2 (SI Appendix)</p> </td> <td>&nbsp; &nbsp; 10455</td> </tr> </tbody> </table> <p>&nbsp;</p> <p><strong>File Contents</strong></p> <p>Each file contains the following variables:</p> <ul> <li>&quot;phase&quot;: A MATLAB cell containing all the phase profiles for every time step. Thus, &quot;phase{t_ind}&quot; is a matrix where rows represent experimental realizations and columns the spatial grid points. For example, &quot;phase{5}(1,:)&quot; would be a one-dimensional phase profile, representing the first realization of the fifth time step. To learn more about the extraction of phase profiles, read Section 2 and see Fig. S5 in SI Appendix.</li> <li>&quot;z_grid_phase_si&quot;: Vector. Grid points for phase profiles in SI units (m).</li> <li>&quot;averaged_density_si&quot;: Vector.&nbsp;Averaged initial linear density in SI units (m^-1). See Fig. 1(a).</li> <li>&quot;z_grid_density_si&quot;: Vector.&nbsp;Grid points for averaged density in SI units (m).</li> <li>&quot;times_si&quot;: Vector.&nbsp;Time points in SI units (s).</li> </ul> <p>&nbsp;</p> <p><strong>Matlab script calculating the&nbsp;velocity field</strong></p> <p>In addition to the data, a MATLAB script (velocity_field_calculation.m) loads a data file and calculates the velocity field and its correlations following the equations in the manuscript:</p> <ul> <li>&quot;u&quot;:&nbsp;MATLAB cell.&nbsp;Velocity field for every time step.</li> <li>&quot;u_u_corr&quot;: MATLAB cell. Second-order&nbsp;correlations of the velocity field for every time step.</li> <li>&quot;std_u_u_corr&quot;: MATLAB cell.&nbsp;Standard deviation of second-order&nbsp;correlations of the velocity field for every time-step.</li> </ul> <p>Finally, the script plots &quot;u_u_corr&quot; for all the time steps and plots the averaged linear density.</p>