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

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

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 …

Ground states of quantum many-body systems are both entangled and possess a kind of
quantum complexity, as their preparation requires universal resources that go beyond the …

We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge
theories in 2+ 1 dimensions using surgery. We consider the possible dependence of the …

We present an operational procedure to transform global symmetries into local symmetries
at the level of individual quantum states, as opposed to typical gauging prescriptions for …

We study the Shannon entropy of the probability distribution resulting from the ground-state
wave function of a one-dimensional quantum model. This entropy is related to the …

Topological entanglement entropy has been regarded as a smoking-gun signature of
topological order in two dimensions, capturing the total quantum dimension of the …

We study a quantum phase transition between a phase which is topologically ordered and
one which is not. We focus on a spin model, an extension of the toric code, for which we …

We study the scaling behavior of the entanglement entropy of two-dimensional conformal
quantum critical systems, ie, systems with scale-invariant wave functions. They include two …