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We have investigated the vortex dynamics in a thin film of an iron-basedsuperconductor FeSe$_{0.5}$Te$_{0.5}$ by observing second-harmonic generation(SHG) in the THz frequency range. We visualized the picosecond trajectory oftwo-dimensional vortex motion in a pinning potential tilted by Meissnershielding current. The SHG perpendicular to the driving field is observed,corresponding to the nonreciprocal nonlinear Hall effect under thecurrent-induced inversion symmetry breaking, whereas the linear Hall effect isnegligible. The estimated vortex mass, as light as a bare electron, suggeststhat the vortex core moves independently from quasiparticles at such a highfrequency and large velocity $\approx$300 km/s.

Picosecond Trajectory of Two-dimensional Vortex Motion in FeSe$_{0.5}$Te$_{0.5}$ Visualized by Terahertz Second Harmonic Generation