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 perform a density-matrix renormalization group (DMRG) study of the S= 1 2 Heisenberg
antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state …

Topologically ordered phases are gapped states, defined by the properties of excitations
when taken around one another. Here we demonstrate a method to extract the statistics and …

We present a pedagogical review of the physics of fractional Chern insulators with a
particular focus on the connection to the fractional quantum Hall effect. While the latter …

Recently, a new class of quantum phases of matter—symmetry protected topological states,
such as topological insulators—has attracted much attention. In presence of interactions …

Ground states of quantum many-body systems are both entangled and possess a kind of
quantum complexity, as their preparation requires universal resources that go beyond the …

Despite rapidly growing interest in harnessing machine learning in the study of quantum
many-body systems, training neural networks to identify quantum phases is a nontrivial …

Entanglement entropy has become an important theoretical concept in condensed matter
physics because it provides a unique tool for characterizing quantum mechanical many …

We discuss entanglement entropy of gapped ground states in different dimensions, obtained
on partitioning space into two regions. For trivial phases without topological order, we argue …

A bstract Rényi entropies S q are useful measures of quantum entanglement; they can be
calculated from traces of the reduced density matrix raised to power q, with q≥ 0. For (d+ 1) …