Spontaneous Quantum Turbulence in a Newborn Bose-Einstein Condensate via the Kibble-Zurek Mechanism data

Primary data and numerical codes of "Spontaneous Quantum Turbulence in a Newborn Bose-Einstein Condensate via the Kibble-Zurek Mechanism", arXiv:2506.21670 [cond-mat.quant-gas].Codes are written in the Julia programming language.[Structure]1. "codes" folder contains numerical codes written in Julia. (a) "codes/SPGPE" contains codes to solve the stochastic projected Gross-Pitaevskii equation (SPGPE) in parallel (HPC), with a bash script and the example input parameter file.(b) "codes/QuantumTurbulence" contains codes to calculate the compressible/incompressible kinetic energy spectra by processing the SPGPE data in parallel (HPC), with a bash script and the example input parameter files.2. "QuantumTurbulence_E_data" contains the average and the standard deviations of the compressible/incompressible kinetic energy spectra from the 1000 different noise realizations.3. "QuantumTurbulence_E_quadrature" contains the data and the figure showing that one needs smaller step size in space in order to reduce numerical errors at large momentum k.4. "u_data" contains the Fourier transform of the c-field wavefunction below the cutoff energy, and the norm of the c-field wavefunction as a function of time, for different quench times. We calculated 1000 different noise realizations for each quench time.5. "vortex_positions" contains the equilibration time, positions and the number of vortices created via the phase transition (Kibble-Zurek mechanism) at the equilibration time, for each noise realizations.