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 two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

We consider the Rényi α entropies for Luttinger liquids (LL). For large block lengths ℓ, these
are known to grow like ln⁡ ℓ. We show that there are subleading terms that oscillate with …

We study the Rényi entanglement entropies of two disjoint intervals in XY chains. We exploit
the exact solution of the model in terms of free Majorana fermions and we show how to …

Alkaline-earth and ytterbium cold atomic gases make it possible to simulate SU (N)-
symmetric fermionic systems in a very controlled fashion. Such a high symmetry is expected …

We present a general theory of the corrections to the asymptotic behaviour of the Rényi
entropies SA (n)=(1− n)− 1 logTrρ A n which measure the entanglement of an interval A of …

We review research on a number of situations where a quantum impurity or a physical
boundary has an interesting effect on entanglement entropy. Our focus is mainly on impurity …

We consider the Rényi entropies in the one-dimensional spin-1/2 Heisenberg XX chain in a
magnetic field. The case n= 1 corresponds to the von Neumann'entanglement'entropy …

We consider the Rényi entanglement entropies in the one-dimensional XX spin-chains with
open boundary conditions in the presence of a magnetic field. In the case of a semi-infinite …

We investigate one-dimensional SU (N) Hubbard chains at zero temperature, which can be
emulated with ultracold alkaline-earth-metal atoms, by using the density matrix …