Quench dynamics and vortex-mediated transport in two-dimensional superfluids

Two-dimensional superfluids exhibit Berezinskii–Kosterlitz–Thouless (BKT) physics, where superflow is relaxed by mobile vortices and transport becomes intrinsically nonlinear. While helium films and thin-film superconductors have long validated this picture, its implications for quenched dynamics in programmable quantum simulators remain underexplored. We develop a KT-informed hydrodynamic framework that supplements two-fluid theory with correlated vortex kinetics to describe post-quench evolution of supercurrents. We outline experiment-friendly settings that allow quantitative tests of vortex-mediated relaxation and other features of BKT dynamics.