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Coulomb Blockade: Energy Landscape & Staircase (2D)

Interactive 2D quantum dot: a live E(N) energy-landscape parabola with Boltzmann-weighted charge states, and the full charge-staircase curve ⟨N⟩ versus gate voltage, showing how charging energy E_C = e²/2C sets a sharp Coulomb staircase that thermal fluctuations wash into a smooth ramp.

Quantum Physics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

A 2D-native counterpart to the 3D Quantum Dot Charging Energy Explorer, built from the same single-electron-box electrostatics E_C = e²/2C_Σ and E(N) = E_C(N − n_g)². Instead of an orbiting 3D scene, the physics is shown as two analytic plots: a continuous energy-landscape parabola with Boltzmann-weighted charge-state markers, and the full ⟨N⟩ versus gate-voltage staircase curve computed across the entire sweep range. A top-down island view still shows electrons docking one at a time, but the quantitative story — how charging energy competes with thermal energy to sharpen or wash out the Coulomb staircase — now lives in the two live plots.

⚙ Under the hood

2D plots of the same single-electron-box quantum dot model: a continuous E(N) = e²/2C·(N − n_g)² energy-landscape parabola with Boltzmann-weighted charge-state markers, plus the full ⟨N⟩ versus gate-voltage staircase curve computed across the whole sweep, showing how charging energy competes with thermal energy to sharpen or smear the Coulomb staircase.

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2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install