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Distribution of eigenmodes in a superconducting stadium billiard with chaotic dynamics

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TLDR
The semiclassical analysis is in good agreement with the experimental data, and provides a new scheme for the statistical analysis and comparison with predictions based on the Gaussian orthogonal ensemble.
Abstract
The complete sequence of 1060 eigenmodes with frequencies between 0.75 and 17.5 GHz of a quasi-two-dimensional superconducting microwave resonator shaped like a quarter of a stadium billiard with a Q value of Q\ensuremath{\approxeq}${10}^{5--}$${10}^{7}$ was measured for the first time. The semiclassical analysis is in good agreement with the experimental data, and provides a new scheme for the statistical analysis and comparison with predictions based on the Gaussian orthogonal ensemble.

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Random-matrix theories in quantum physics : common concepts

TL;DR: A review of the development of random-matrix theory (RMT) during the last fifteen years is given in this paper, with a brief historical survey of the developments of RMT and of localization theory since their inception.
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Random Matrix Theories in Quantum Physics: Common Concepts

TL;DR: It is suggested that the current development of random-matrix theory signals the emergence of a new “statistical mechanics”: Stochasticity and general symmetry requirements lead to universal laws not based on dynamical principles.
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Light fields in complex media: Mesoscopic scattering meets wave control

TL;DR: In this article, a review summarizes how insights from mesoscopic scattering theory have direct relevance for optical wave control experiments and vice versa, and the results are expected to have an impact on a number of fields ranging from biomedical imaging to nanophotonics, quantum information, and communication technology.
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The nuclear shell model as a testing ground for many-body quantum chaos

TL;DR: In this paper, the authors analyzed the structure of the eigenfunctions and the distribution function of the Eigenvector components using basis-dependent quantitative criteria such as information entropy and showed that the degree of complexity is a smooth function of excitation energy.
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Geometrical structure of Laplacian eigenfunctions

TL;DR: The main focus is put onto multiple intricate relations between the shape of a domain and the geometrical structure of eigenfunctions of the Laplace operator in bounded Euclidean domains with Dirichlet, Neumann or Robin boundary condition.