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Exact probability distributions of complex spacing ratios in non-Hermitian random matrices

Kawabata, Kohei
arXiv (All) · Papers
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disordered-systems-and-neural-networksmathematical-physicsquantum-physics
The complex spacing ratio is the complex displacement from a reference eigenvalue to its nearest neighbor divided by the corresponding displacement to its next-to-nearest neighbor. Its statistics provide a useful diagnostic of spectral correlations and nonintegrability in open quantum systems. Here,
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