We investigate how the temperature calculated from the microcanonical entropy compares
with the canonical temperature for finite isolated quantum systems. We concentrate on …

Previous literature on random matrix and network science has traditionally employed
measures derived from nearest-neighbor level spacing distributions to characterize the …

The low-energy dynamics of mesoscopic systems strongly depends on the presence of
internal equilibration. For this reason, a better interpretation of ultracold atom experiments …

Several spectral fluctuation measures of random matrix theory (RMT) have been applied in
the study of spectral properties of networks. However, the calculation of those statistics …

Recently, singular value decomposition (SVD) was applied to standard Gaussian
ensembles of random-matrix theory to determine the scale invariance in spectral fluctuations …

Transitions from delocalized to localized eigenstates have been extensively studied in both
quadratic and interacting models. The delocalized regime typically exhibits diffusion and …

By continuously varying certain geometric parameters γ of the totally desymmetrized
quantum Sinai billiard, we study the formation of the so-called soliton-like structures in the …

This study presents the first statistical analysis on the correlation of negative parity states. All
the available experimental data of 1− & 2− levels of the even mass nuclei in the 16≤ A≤ …

Purpose Random matrix theory (RMT) is an increasingly useful tool for understanding large,
complex systems. Prior studies have examined functional magnetic resonance imaging …

The ideas in this thesis are placed broadly within the context of many-body quantum
dynamics, an area of research that has gained significant interest in recent years due to …