Vortex recombination and energy dissipation in Fermionic superfluids

The dynamics of quantized superfluid vortices underlies quantum turbulence. An accurate characterization of these can be obtained from a model called time-dependent Superfluid Local Density Approximation (TDSLDA). TDSLDA is computationally too expensive to simulate fermionic systems with macroscopic volume. To study dynamical processes like vortex recombination and energy dissipation, we propose using simpler Gross-Pitaevskii (GPE) like model called an Extended Thomas-Fermi (ETF) model. In this work, we simulate the Unitary Fermi Gas (UFG) with particular attention to energy dissipation and validate to what extent ETF can describe the dynamics.