Homogeneous and Isotropic Quantum Turbulence Across the BEC-BCS Crossover

Quantum turbulence is the dynamics of a tangle of interacting quantized vortices in a superfluid system. These interactions enable energy transfer across different length scales in the system leading to power-law Kolmogorov scaling: a characteristic of turbulence. We hypothesize that evidence for these scaling laws will be seen in the largest simulations of fermionic superfluids to date, but will need correction due to finite size effects. By adjusting the interaction strength over the BEC-BCS crossover, we can tune the size of the vortex cores, exploring how this impacts the observed scaling behavior. In this talk, we will present results from one of the largest fully microscopic simulations of fermionic superfluids, and show how effects like the vortex core size impact the scaling. These simulations connect the microscopic dynamics of vortices to the macroscopic models for quantum turbulence in neutron stars, laying the groundwork for understanding phenomena such as pulsar glitches.