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Experimental test of the Rosenzweig-Porter model for the transition from Poisson to Gaussian unitary ensemble statistics

Experimental test of the Rosenzweig-Porter model for the transition from Poisson to Gaussian unitary ensemble statistics

We report on an experimental investigation of the transition of a quantum system with integrable classical dynamics to one with violated time-reversal ($\mathcal{T}$) invariance and chaotic classical counterpart. High-precision experiments are performed with a flat superconducting microwave resonator with circular shape in which $\mathcal{T}$-invariance violation and chaoticity are induced by …