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The Kicked Rotor And its metrics of chaos

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Hamilton,  Cian
Molecular Physics, Fritz Haber Institute, Max Planck Society;

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Citation

Hamilton, C. (2022). The Kicked Rotor And its metrics of chaos. Master Thesis, Freie Universität, Berlin.


Cite as: https://hdl.handle.net/21.11116/0000-000A-6822-B
Abstract
The goal of this work was to find quantifiable metrics of the chaoticity of the classical kicked rotor (CKR) and the quantum kicked rotor (QKR). An analogy can be drawn between this and the work done on studying the phase transition from laminar to turbulent flow in fluid dynamics. In the case of fluid dynamics it is Reynolds number which is the important metric for quantifying the transition from ordered to chaotic behaviour. In the classical case we show that the fractal dimension of the phase space is a good metric, and for the quantum case we see that a combination of the energy and the localisation length can be used.