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MO: Fachverband Molekülphysik

MO 6: Ultrafast

MO 6.6: Talk

Thursday, September 23, 2021, 15:15–15:30, H2

The Kicked Rotor and its Metrics of Chaos — •Cian Hamilton and Jesús Pérez Ríos — Fritz Haber Institute, Berlin, Germany

The kicked rotor is a prototypical simple model that encompasses both order and chaos in classical and quantum variants. As a result, it has been extensively studied, although it is still not yet fully understood.

We have conducted a numerical exploration into both the classical and quantum kicked rotor, although from a different approach. As a result, we find that the transition from order to the chaos of the classical kicked rotor follows a hyperbolic tangent function depending on the kick strength by characterising the fractal dimension of the phase-space.

On the quantum front, we have been able to find how the localisation length for the wavefunction depends on the two quantum parameters controlling the system's dynamics. Similarly, by looking into the average kinetic energy after many kicks, we expect to have some hints about the emergence of quantum chaos and its correspondence with the classical dynamics. Finally, we have explored other areas of the kicked rotor, including how sensitive the system is to the dynamic kick period and dynamic kick strength.