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 introduce a coarse-graining transformation for tensor networks that can be applied to
study both the partition function of a classical statistical system and the Euclidean path …

We show how to build a multiscale entanglement renormalization ansatz (MERA)
representation of the ground state of a many-body Hamiltonian H by applying the recently …

We investigate the use of matrix product states (MPS) to approximate ground states of critical
quantum spin chains with periodic boundary conditions (PBC). We identify two regimes in …

We discuss in detail algorithms for implementing tensor network renormalization (TNR) for
the study of classical statistical and quantum many-body systems. First, we recall …

The efficient evaluation of tensor expressions involving sums over multiple indices is of
significant importance to many fields of research, including quantum many-body physics …

We use the formalism of tensor network states to investigate the relation between static
correlation functions in the ground state of local quantum many-body Hamiltonians and the …

In this paper, we apply the formalism of translation invariant (continuous) matrix product
states in the thermodynamic limit to (1+ 1)-dimensional critical models. Finite bond …

The critical two-dimensional classical Ising model on the square lattice has two topological
conformal defects: the Z 2 symmetry defect D ε and the Kramers-Wannier duality defect D σ …

We consider the time evolution of the gaps of the entanglement spectrum for a block of
consecutive sites in finite transverse field Ising chains after sudden quenches of the …