This review is devoted to the problem of thermalization in a small isolated conglomerate of
interacting constituents. A variety of physically important systems of intensive current interest …

By means of full exact diagonalization, we study level statistics and the structure of the
eigenvectors of one-dimensional gapless bosonic and fermionic systems across the …

We study how the proximity to an integrable point or to localization as one approaches the
atomic limit, as well as the mixing of symmetries in the chaotic domain, may affect the onset …

We study the onset of chaos and statistical relaxation in two isolated dynamical quantum
systems of interacting spins 1/2, one of which is integrable and the other chaotic. Our …

We introduce aspects of quantum chaos by analyzing the eigenvalues and the eigenstates
of quantum many-body systems. The properties of quantum systems whose classical …

We explore the connections between dissipative quantum phase transitions and non-
Hermitian random matrix theory. For this, we work in the framework of the dissipative Dicke …

A main feature of a chaotic quantum system is a rigid spectrum where the levels do not
cross. We discuss how the presence of level repulsion in lattice many-body quantum …

We study one-dimensional lattices of interacting spins-1 2 and show that the effects of
quenching the amplitude of a local magnetic field applied to a single site of the lattice can be …

We identify properties of the energy eigenstates in a family of chaotic spin-chain systems
with local interactions, which distinguish them both from integrable systems and from …

We investigate disordered one-and two-dimensional Heisenberg spin lattices across the
transition from integrability to quantum chaos from both statistical many-body and quantum …