In this work, the term “quantum chaos” refers to spectral correlations similar to those found in
the random matrix theory. Quantum chaos can be diagnosed through the analysis of level …

The spectral form factor (SFF) can probe the eigenvalue statistic at different energy scales as
its time variable varies. In closed quantum chaotic systems, the SFF exhibits a universal dip …

Utilizing singular value decomposition, our investigation focuses on the spectrum of the
singular values within a sparse non-Hermitian Sachdev-Ye-Kitaev (SYK) model. Unlike the …

We investigate how the dynamical fluctuations of many-body quantum systems out of
equilibrium can be mitigated when they are opened to a dephasing environment. We …

Exploring the spectral properties of non-Hermitian systems presents a substantial theoretical
challenge due to the presence of a complex eigenvalue spectrum. Singular values for such …

We introduce a spatial form factor (SFF) for the characterization of spatial patterns
associated with point processes. Specifically, the SFF is defined in terms of the averaged …

The ergodic theory of classical dynamical systems, originating in Boltzmann's ergodic
hypothesis, provides an idealized description of how the flow of information within energy …