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

Out-of-time-order correlators (OTOCs) have been proposed as sensitive probes for chaos in
interacting quantum systems. They exhibit a characteristic classical exponential growth, but …

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

We present a semiclassical explanation of the so-called Bohigas-Giannoni-Schmit
conjecture which asserts universality of spectral fluctuations in chaotic dynamics. We work …

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 study the cumulants and their generating functions of the probability distributions of the
conductance, shot noise and Wigner delay time in ballistic quantum dots. Our approach is …

Applying random matrix theory to quantum transport in chaotic cavities, we develop a
powerful method for computing the moments of the conductance and shot-noise (including …

We establish large deviation formulas for linear statistics on the N transmission eigenvalues
{T i} of a chaotic cavity, in the framework of random matrix theory. Given any linear statistics …

The ratio of two consecutive level spacings has emerged as a very useful metric in
investigating universal features exhibited by complex spectra. It does not require the …

In the framework of the random matrix approach, we apply the theory of Selberg's integral to
problems of quantum transport in chaotic cavities. All the moments of transmission …