Quantum Dot Ensemble Auger Decay (2D)

Real photoluminescence measurements never watch a single quantum dot alone — they collect light from many nanocrystals at once, and the smooth multi-exponential decay curve textbooks show is really the statistical average of thousands of individual stochastic collapses like the one modeled here. This 2D simulator makes that averaging visible directly: a lattice of 324 independent quantum dots, each pumped with the same N₀ excitons, each decaying on its own random clock through the identical competition between radiative recombination (photon emission, rate k_r per exciton) and Auger recombination (non-radiative energy transfer to a third carrier, rate scaling combinatorially as N(N-1)(N-2)/2 and inversely with dot volume). Watch the grid darken as high-order multiexciton states collapse almost instantly while lingering single excitons decay slowly and purely by light emission, read the live population histogram, and compare the empirical ensemble-average decay trace against the exact analytic solution of the underlying master equation.