36 citations · 93 across the 8 of their papers we have counts for
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Integrability enabled computations relating to the fixed trace Laguerre ensemble
Peter J. Forrester, Shinsuke M. Nishigaki
Studies of density matrices for random quantum states lead naturally to the fixed trace Laguerre ensemble in random matrix theory. Previous studies have uncovered explicit rational…
Distributions of consecutive level spacings of circular unitary ensemble and their ratio: finite-size corrections and Riemann zeros
Shinsuke M. Nishigaki
We compute the joint distribution of two consecutive eigenphase spacings and their ratio for Haar-distributed matrices (the circular unitary ensemble) using our fra…
Distributions of consecutive level spacings of Gaussian unitary ensemble and their ratio: ab initio derivation
Shinsuke M. Nishigaki
In recent studies of many-body localization in nonintegrable quantum systems, the distribution of the ratio of two consecutive energy level spacings, $r_n=(E_{n+1}-E_n)/(E_{n}-E_{n…
Eigenphase distributions of unimodular circular ensembles
Shinsuke Nishigaki
Motivated by the study of Polyakov lines in gauge theories, Hanada and Watanabe recently presented a conjectured formula for the distribution of eigenphases of Haar-distributed ran…