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

Relative phase profiles and averaged density profiles for the results shown in  arXiv:2209.09132

Each file "phase_and_mean_density_scan_X.mat" contains data for a measurement presented in the manuscript, where "X" is the corresponding scan number.
The following table shows the relevant scan number to measurement descriptions mentioned in the manuscript (see Table S1 in the SI Appendix).

Measurement description
Scan number

    Homogeneous (main text)

    9185

    Inhomogeneous with sharp edges 

    10419

    Inhomogeneous with smoothed edges

    8935

    Homogeneous 2 (SI Appendix)

    10455

File Contents

Each file contains the following variables:

"phase": A MATLAB cell containing all the phase profiles for every time step. Thus, "phase{t_ind}" is a matrix where rows represent experimental realizations and columns the spatial grid points. For example, "phase{5}(1,:)" 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.

"z_grid_phase_si": Vector. Grid points for phase profiles in SI units (m).

"averaged_density_si": Vector. Averaged initial linear density in SI units (m^-1). See Fig. 1(a).

"z_grid_density_si": Vector. Grid points for averaged density in SI units (m).

"times_si": Vector. Time points in SI units (s).

Matlab script calculating the velocity field

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:

"u": MATLAB cell. Velocity field for every time step.

"u_u_corr": MATLAB cell. Second-order correlations of the velocity field for every time step.

"std_u_u_corr": MATLAB cell. Standard deviation of second-order correlations of the velocity field for every time-step.

Finally, the script plots "u_u_corr" for all the time steps and plots the averaged linear density.