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.
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.
Sliders for sweep rate and avoided-crossing energy gap
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.
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.
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.
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.
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.