3 papers
math-ph2026
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…
math-ph2025
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…
math-ph2024
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…