Realization of Floquet systems in microwave billiards

• Applicant: Professor Dr. Ulrich Kuhl
• Subject Area: Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
• Term: from 2005 to 2012
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5449689

There is a broad interest in time periodic systems showing dynamical localization. On the theoretical side there are many investigations of the kicked rotator [1] and on the experimental side on driven Rydberg atoms [2] and atoms in magneto optical traps where the kicking is realized by a modulated standing light field [3]. We want to setup a new experiment to show dynamical localization which seems to be more flexible than the previous ones. The system is a microwave cavity with an additionally attached channel where the reflection and transmission coefficient can be varied using a diode switch. The driving frequency (d can be chosen in a wide range from extremely local, i.e. much smaller compared to the resonance with to much larger than the mean distance ¿ of the resonances. In the case where the drivin frequency is larger than ¿ we hope to find dynamical localization.

• DFG Programme: Research Grants
• Participating Person: Professor Dr. Hans-Jürgen Stöckmann