Raw Data to 'Experimental verification of the area law of mutual information in quantum field theory', arXiv:2206.10563

<p><strong>Absorption images representing the raw data for&nbsp;arXiv:2206.10563</strong></p> <p>&#39;scan5722.zip&#39; contains the raw data for figures 2 and 3.</p> <p>&#39;scan5831.zip&#39; and &#39;scan9617.zip&#39; contain the raw data for figure 5, right and left, respectively.</p> <p>All three datasets, 9617, 5722, and 5831, are used to obtain the data points in figure 4, from low to high temperatures.</p> <p>&nbsp;</p> <p><strong>Scans 5722 &amp; 5831</strong></p> <p>The absorption images are numbered consecutively.</p> <p>The first image for scans 5722 and 5831 is taken along the axial (longitudinal) direction with our &#39;longitudinal&#39; imaging system after 10 ms time of flight (TOF) to measure the atom number balance between the two wells. The measurement is performed&nbsp;before ramping up the DW barrier. Two images are taken in each cycle:&nbsp;One&nbsp;shot&nbsp;with atoms (&#39;1-atomcloud.tif&#39;) and&nbsp;a second image to record the intensity of the imaging beam without atoms&nbsp;(&#39;1-withoutatoms.tif&#39;). These two pictures are used to extract the atomic density (see the Matlab script).</p> <p>The second image for scans 5722 and 5831 is&nbsp;taken in the direction of the double-well (DW) separation with our &#39;transverse&#39; imaging system. The measurement is performed&nbsp;before ramping up the DW barrier.&nbsp;The image is taken after&nbsp;11.2 ms TOF.</p> <p>The subsequent images record&nbsp;the interference fringes for the different evolution times (again, always pairs &#39;-atomcloud.tif&#39; and &#39;-withoutatoms.tif&#39;). They are taken with our &#39;vertical&#39; imaging system after 15.6 ms TOF. The imaging direction is perpendicular to the weakly confined direction of the clouds and the DW separation.</p> <p>The recorded evolution times for scan 5722 are -1.9 ms (right before ramping up&nbsp;the DW barrier), 0 ms (right after the DW barrier is ramped up), and then in steps of 2.5 ms until 65 ms. This means that &#39;3-atomcloud.tif&#39; corresponds to -1.9 ms, and &#39;30-atomcloud.tif&#39; corresponds to 65 ms. This completes the &#39;first repeat&#39;. The next two shots, &#39;31-atomcloud.tif&#39; and &#39;32-atomcloud.tif&#39;, belong to the &#39;second repeat&#39; and are again taken with the &#39;longitudinal&#39; &amp; &#39;transverse&#39; imaging systems, respectively. The picture &#39;33-atomcloud.tif&#39; is again taken with the &#39;vertical&#39; imaging and corresponds to -1.9 ms. And so forth.</p> <p>In the same way, the pictures scan 5831 are ordered. The evolution times (in ms) for these two scans are:</p> <p>scan 5722: -1.9 from 0 to 65 (in steps of 2.5)</p> <p>scan 5831: -1.8, from 0 to 65 (in steps of 2.5)</p> <p>The first time always corresponds to the instant right before the DW barrier is ramped up.&nbsp;0 is always right after the barrier was ramped up.</p> <p>&nbsp;</p> <p><strong>Scan 9617</strong></p> <p>This scan only contains images with the &#39;vertical&#39; imaging system with 15.6 ms TOF. The evolution times (in ms) are as follows:</p> <p>scan 9617:&nbsp;-2.8, from 0 to 15 (in steps of 1.5),&nbsp; 22, 25, 28</p> <p>The first time always corresponds to the instant right before the DW barrier is ramped up.&nbsp;0 is always right after the barrier was ramped up.</p> <p>This means, that &#39;1-atomcloud.tif&#39;, &#39;16-atomcloud.tif&#39;, &nbsp;&#39;31-atomcloud.tif&#39; and so on correspond to -2.8 ms, and &#39;15-atomcloud.tif&#39;, &#39;30-atomcloud.tif&#39;, &#39;45-atomcloud.tif&#39; and so on correspond to 28 ms.</p> <p>&nbsp;</p> <p><strong>Matlab script</strong></p> <p>In addition to the data, a Matlab script (calc_atomic_density.m) illustrates how to extract the two-dimensional&nbsp;atomic density from the absorption images. It contains all relevant parameters of the imaging systems.</p>