The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

Tensor networks provide extremely powerful tools for the study of complex classical and
quantum many-body problems. Over the past two decades, the increment in the number of …

Quantum spin liquids, exotic phases of matter with topological order, have been a major
focus in physics for the past several decades. Such phases feature long-range quantum …

Spontaneous symmetry breaking underlies much of our classification of phases of matter
and their associated transitions,–. The nature of the underlying symmetry being broken …

Matrix-product states have become the de facto standard for the representation of one-
dimensional quantum many body states. During the last few years, numerous new methods …

Entanglement is a key feature of many-body quantum systems. Measuring the entropy of
different partitions of a quantum system provides a way to probe its entanglement structure …

Conventional superconductivity emerges from pairing of charge carriers—electrons or holes—
mediated by phonons. In many unconventional superconductors, the pairing mechanism is …

Tensor product state (TPS) based methods are powerful tools to efficiently simulate quantum
many-body systems in and out of equilibrium. In particular, the one-dimensional matrix …

In the past two decades, the density matrix renormalization group (DMRG) has emerged as
an innovative new method in quantum chemistry relying on a theoretical framework very …

Magnetic properties of materials ranging from conventional ferromagnetic metals to strongly
correlated materials such as cuprates originate from Coulomb exchange interactions. The …