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math-ph2019★ 24 cited
Distribution of the ratio of two consecutive level spacings in orthogonal to unitary crossover ensembles
Ayana Sarkar, Manuja Kothiyal, Santosh Kumar
The ratio of two consecutive level spacings has emerged as a very useful metric in investigating universal features exhibited by complex spectra. It does not require the knowledge…
math-ph2019★ 25 cited
Bures-Hall Ensemble: Spectral Densities and Average Entropies
Ayana Sarkar, Santosh Kumar
We consider an ensemble of random density matrices distributed according to the Bures measure. The corresponding joint probability density of eigenvalues is described by the fixed…