BACKGROUND Years ago, Lev Landau taught us how to think about distinct phases of
matter through an order parameter that characterizes the symmetry-broken state relative to …

This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

Quantum phase transitions (QPTs) involve transformations between different states of matter
that are driven by quantum fluctuations. These fluctuations play a dominant part in the …

We analyze the zero-temperature phases of an array of neutral atoms on the kagome lattice,
interacting via laser excitation to atomic Rydberg states. Density-matrix renormalization …

We study field theories with global dipole symmetries and gauge dipole symmetries. The
famous Lifshitz theory is an example of a theory with a global dipole symmetry. We study in …

Topological Phases of Matter are an exceptionally dynamic field of research: several of the
most exciting recent experimental discoveries and conceptual advances in modern physics …

Gauge theories establish the standard model of particle physics, and lattice gauge theory
(LGT) calculations employing Markov Chain Monte Carlo (MCMC) methods have been …

Measurements allow efficient preparation of interesting quantum many-body states with long-
range entanglement, conditioned on additional transformations based on measurement …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

Abelian and non‐Abelian gauge theories are of central importance in many areas of
physics. In condensed matter physics, Abelian U (1) lattice gauge theories arise in the …