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

Recent interest in aspects common to quantum information and condensed matter has
prompted a flurry of activity at the border of these disciplines that were far distant until a few …

Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

In this paper, we review recent progress on the holographic understanding of the
entanglement entropy in the anti-de Sitter space/conformal field theory (AdS/CFT) …

Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

Neural quantum states (NQS) are a promising approach to study many-body quantum
physics. However, they face a major challenge when applied to lattice models: convolutional …

The infinite projected entangled pair states (iPEPS) algorithm [J. Jordan, Phys. Rev. Lett.
101, 250602 (2008) PRLTAO 0031-9007 10.1103/PhysRevLett. 101.250602] has become a …

We review some of the recent progress on the study of entropy of entanglement in many-
body quantum systems. Emphasis is placed on the scaling properties of entropy for one …