Fractional Quantum Hall Anyon Braiding

At strong magnetic field and Landau-level filling factor ν = 1/m, a two-dimensional electron gas condenses into the Laughlin liquid, whose quasiparticle excitations carry a fractional charge e/m and obey fractional exchange statistics. This simulator renders that electron gas as an instanced Landau-level lattice under a uniform magnetic field, places two quasihole density dips in it, and lets you braid one fully around the other. Because the statistical phase picked up by the many-body wavefunction is a topological invariant — 2π/m per full loop, independent of the exact path or speed — a live phasor and numeric readout track the accumulated phase, the effective quasiparticle charge, and the total winding as you braid at filling factors 1/3, 1/5 or 1/7.