Circulation Statistics and Migdal Area Rule Beyond the Kibble-Zurek Mechanism in a Newborn Bose-Einstein Condensate data

Primary data and numerical codes of "Circulation Statistics and Migdal Area Rule Beyond the Kibble-Zurek Mechanism in a Newborn Bose-Einstein Condensate", arXiv:2508.11047 [cond-mat.quant-gas]. Codes are written in the Julia programming language. [Structure]1. "codes" folder contains numerical codes written in Julia.(a) "codes/W_abs_vs_A_Tq_KZM" contains codes to calculate the moments of the absolute net charge within the area A in parallel (HPC), with a bash script and the example input parameter file. Depending on the options, it can calculate the moments of the absolute net charge within the area A for various A, for scaled area A to test the Kibble-Zurek universality, or for fixed A by changing the quench time Tq.(b) "codes/W_abs_vs_C" contains code to calculate the moments of the absolute net charge within the loop C in parallel (HPC).(c) "codes/W_abs_vs_nv" contains code to calculate the moments of the absolute net charge within the area A, as a function of the number of vortices withn that area A in parallel (HPC). 2. "W_abs_vs_A_and_C" contains the average and the standard deviations of the moments of the absolute net charge, for different quench times, each averaged over 1000 different noise realizations. "W_abs_vs_A_and_C/A_from_1_180" shows the data as a function of the area A (Figs. 1 and 2). "W_abs_vs_A_and_C/C_from_4_75" shows the data as a function of the length of the loop C enclosing the area A (Figs. 2) 3. "W_abs_vs_A_KZM_test" contains the average and the standard deviations of the moments of the absolute net charge, to test the Kibble-Zurek universality (Figs. 4) "W_abs_vs_A_KZM_test/A_from_1_400" shows the data as a function of the area A "W_abs_vs_A_KZM_test/A_scaled_from_0_3_28_3" shows the data as a function of the scaled area A / sqrt(Tq) where Tq is the quench time 4. "W_abs_vs_nv" contains the average and the standard deviations of the moments of the absolute net charge, as a function of the number of vortices within the area A (Fig. S2 in the Supplementary Material) 5. "W_abs_vs_Tq" contains the average and the standard deviations of the moments of the absolute net charge, as a function of the quench time (area is fixed, Fig. S3 in the Supplementary Material)