Dicke Superradiance: Collective Quantum Coherence

This simulator renders a cluster of two-level "atoms" packed inside a volume smaller than their emission wavelength — the regime R. Dicke analysed in 1954. Start them all excited and, instead of decaying independently, their coupling to a shared radiation field builds a macroscopic quantum coherence across the whole ensemble, which then discharges as one cooperative burst of light far brighter and faster than ordinary spontaneous emission. The mean-field Bloch-vector equations driving the animation are solved analytically in real time, atom colour tracks each emitter's excitation probability, dipole arrows swell and align as the collective coherence builds, and a central glow flashes at the true peak-intensity instant t_D = ln(N)/Γ. A mode toggle switches off phase coherence entirely — reproducing plain independent-atom fluorescence — so the two decay curves can be compared directly and the role of coherence isolated.