EXCITON VM · the dot that emits

verdict

⏳ conductor booting…

conductor RUNNING

probe-1 · cascade MC × closed form QUEUED

probe-2 · π-pulse ladder QUEUED

probe-3 · Purcell rescue QUEUED

the levers · run the factory

FSS S 2.00 µeV Purcell F_P ×1.0 pulse θ π

···

2D — the villain curve & the fringe

top: pair fidelity (orange) and concurrence (amber) vs FSS at the slider's Purcell — dots are a live 20k-pair Monte Carlo landing on the closed form; red line = F=½ (no entanglement). the marker is your slider. bottom: the Rabi fringe P(XX)=sin²(θ/2) — π is the sweet spot, 2π politely undoes your work.

3D — the cascade, running (soft-GL)

top platform XX, split middle rails X_H / X_V (gap = FSS, exaggerated), ground g. photons fall in pairs — orange down the H rail, amber down the V rail; the V photon carries the spinning phase clock e^{iSt/ħ}. crank Purcell and the dwell shortens: the clock has no time to smear the pair. drag to rotate.

what this dot knows that the corpus dots don't

the territory (AMBER · training-memory literature, honest prose, unaudited live). Corpus dots keep the electron home — blockade thresholds, transmon dances, ternary genesis. This dot lets the electron-hole pair leave as light. The surrounding country: single-photon purity g²(0)→0 (one dot, one photon, antibunching); Hong-Ou-Mandel indistinguishability as the swap currency; the FSS villain and its erasure by strain, electric, and magnetic tuning (droplet-etched GaAs dots reach near-zero splitting); cavity QED — micropillars and bullseye gratings for Purcell speed-up and collection; frequency conversion to telecom for fiber; phonon sidebands as the temperature tax. Every clause is standard literature carried in weights, stamped AMBER because none of it was verified against sources in this session. The math in the probes above is LIT within the model.

the inversion, for the record. tripod-quantum-dots: “No photon needed.” EXCITON VM: photon required — it is the product. Same noun, opposite machine, zero collision. lol certified.

toddler corner

ELI5: the dot is a tiny two-step staircase. push it to the top step with exactly the right shove (the π push — too soft or too hard and it doesn't stay). it falls down in two hops and each hop throws one spark. the two sparks are secret twins — UNLESS the middle step is crooked (that's the splitting): then one twin carries a little spinning clock, and if it dawdles on the step, the clock gives the secret away. the rescue: put the staircase in a mirror room (the cavity) so the hops happen faster than the clock can tick. crooked step, fast fall — the twins stay twins.

method & provenance

double verification. excitonvm.py ran cascade MC (200k pairs/point), RK4 Schrödinger vs sin², and the Purcell sweep; this page re-runs all three live with independent JS. baked ≠ live ⇒ red monitors, dead verdict. ħ = 0.65821195 µeV·ns.

scope. Werner-clean cascade model: no re-excitation, no phonon dephasing, no spin scattering, perfect collection. Model math exact; hardware pays more. Threshold F_P=21.27 for F≥0.99 at S=2 µeV, τ=1 ns is a within-model statement.