Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

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 …

We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

This article is a brief introduction to the rapidly evolving field of many‐body localization.
Rather than giving an in‐depth review of the subject, our aspiration here is simply to …

We introduce a class of phase transitions separating quantum states with different
entanglement features. An example of such an “entanglement phase transition” is provided …

We review the current (as of Fall 2016) status of the studies on the emergent integrability in
many‐body localized models. We start by explaining how the phenomenology of fully many …

Recent work has deployed linear combinations of unitaries techniques to reduce the cost of
fault-tolerant quantum simulations of correlated electron models. Here, we show that one …

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

We introduce the numerical linked cluster expansion as a controlled numerical tool for the
study of the many-body localization transition in a disordered system with continuous …