We review the conformal field theory approach to entanglement entropy in 1+ 1 dimensions.
We show how to apply these methods to the calculation of the entanglement entropy of a …

We propose and analyze a generalization of the Kitaev chain for fermions with long-range p-
wave pairing, which decays with distance as a power law with exponent α. Using the …

We derive the distribution of eigenvalues of the reduced density matrix of a block of length ℓ
in a one-dimensional system in the scaling regime. The resulting “entanglement spectrum” is …

We consider noninteracting fermions on a lattice and give a general result for the reduced
density matrices corresponding to parts of the system. This allows to calculate their spectra …

We show that the free energy at criticality of a finite two-dimensional system of characteristic
size L has in general a term which behaves like ln L as L→∞. The coefficient of this term is …

We investigate the entanglement spectrum near criticality in finite quantum spin chains.
Using finite size scaling we show that when approaching a quantum phase transition, the …

We study the continuum limit of the entanglement Hamiltonians of a block of consecutive
sites in massless harmonic chains. This block is either in the chain on the infinite line or at …

The properties of the reduced density matrix describing an interval of N sites in an infinite
chain of free electrons are investigated. A commuting operator is found for arbitrary filling …

We study the temporal evolution of the entanglement Hamiltonian of an interval after a
global quantum quench in free lattice models in one spatial dimension. In a harmonic chain …

The partial transpose ρ AT 2 of the reduced density matrix ρ A is the key object to quantify
the entanglement in mixed states, in particular through the presence of negative …