This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

The strong disorder RG approach for random systems has been extended in many new
directions since our previous review of 2005 [F. Igloi, C. Monthus, Phys. Rep. 412, 277 …

Quantum many-body scars (QMBS) constitute a new quantum dynamical regime in which
rare “scarred” eigenstates mediate weak ergodicity breaking. One open question is to …

Inhomogeneous quantum critical systems in one spatial dimension have been studied by
using conformal field theory in static curved backgrounds. Two interesting examples are the …

A bstract Driven quantum systems exhibit a large variety of interesting and sometimes exotic
phenomena. Of particular interest are driven conformal field theories (CFTs) which describe …

The eigenstate thermalization hypothesis (ETH) plays a major role in explaining
thermalization of isolated quantum many-body systems. However, there has been no proof …

The light-cone spreading of entanglement and correlation is a fundamental and ubiquitous
feature of homogeneous extended quantum systems. Here we point out that a class of …

Quantum many-body scar states are special eigenstates of nonintegrable models with
distinctive entanglement features that give rise to infinitely long-lived coherent dynamics …

We consider the entanglement Hamiltonian for an interval in a chain of free fermions in its
ground state and show that the lattice expression goes over into the conformal one if one …

We introduce a new spin chain which is a deformation of the Fredkin spin chain and has a
phase transition between bounded and extensive entanglement entropy scaling. In this …