Kicked rotor

Numerical experiments » Kicked rotor

Here are scripts to study the classical and quantum dynamics of the kicked rotor.

Using these scripts, we will be able to show the evolution of the classical dynamics from a regular quasi-integrable dynamics for low values of the kick strength K to chaotic dynamics (with chaotic diffusion) at large K values. We will also observe the quanum dynamical localization (Anderson localization in momentum space). With the quasi-periodically kicked rotor, we will be able to observe the metal-insulator dynamical localization in higher dimension.

The Hamiltonian of the usual kicked rotor is: H = p^2/2+ K cos(theta) sum_n{delta(t-n)}

We will successively study:

  1. Classical dynamics of the kicked rotor
  2. Quantum dynamics of the kicked rotor
  3. The quasi-perodic kicked rotor