During the last few years quantum graphs have become a paradigm of quantum chaos with
applications from spectral statistics to chaotic scattering and wavefunction statistics. In the …

The distinction between level clustering and level repulsion is one of the quantum
analogues of the classical distinction between globally regular and predominantly chaotic …

Quantum chaos of many-body (MB) systems has been swiftly develo** into a vibrant
research area at the interface between various disciplines, ranging from statistical physics to …

We argue semiclassically, on the basis of Gutzwiller's periodic-orbit theory, that full classical
chaos is paralleled by quantum energy spectra with universal spectral statistics, in …

Using Gutzwiller's semiclassical periodic-orbit theory, we demonstrate universal behavior of
the two-point correlator of the density of levels for quantum systems whose classical limit is …

We describe a semiclassical method to calculate universal transport properties of chaotic
cavities. While the energy-averaged conductance turns out governed by pairs of entrance-to …

We derive a trace formula that expresses the level density of chaotic many-body systems as
a smooth term plus a sum over contributions associated to solutions of the nonlinear …

The spectral form factor (SFF) plays a crucial role in revealing the statistical properties of
energy-level distributions in complex systems. It is one of the tools to diagnose quantum …

The addition of tunnel barriers to open chaotic systems, as well as representing more
general physical systems, leads to a much richer semiclassical dynamics. In particular, we …

We show that in the semiclassical limit, classically chaotic systems have universal spectral
statistics. Concentrating on short-time statistics, we identify the pairs of classical periodic …