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🔀 Landau-Zener Transitions Through an Avoided Crossing

Sweep a two-level quantum system through an avoided energy crossing and see how sweep rate and gap size set the exponential Landau-Zener transition probability between diabatic and adiabatic outcomes.

Quantum Physics3DModerate60 FPS

The simulation sweeps a two-level quantum system through an avoided crossing and shows how the resulting transition probability shifts between adiabatic (level-swapping) and diabatic (pass-through) outcomes as the exponential Landau-Zener formula predicts.

🔬 What It Demonstrates

🎮 How to Use

Adjust the sweep-rate slider and the energy-gap slider to see the transition probability update in real time between the fully adiabatic and fully diabatic limits.

💡 Did You Know?

The Landau-Zener problem was solved independently by four physicists, Landau, Zener, Stuckelberg, and Majorana, all in the same year, 1932, making it one of the most repeatedly and independently discovered results in twentieth-century quantum theory.

⚙ Under the hood

landau-zeneravoided crossingquantum dynamicstwo-level systemadiabatic theoremcondensed matterquantum controldiabatic transition

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install