Generalized Symmetries in Condensed Matter | Annual Reviews Menu Publications AZ Journal
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The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

Decoherence inevitably happens when a quantum state is exposed to its environment,
which can affect quantum critical points (QCPs) in a nontrivial way. As was pointed out in the …

We survey recent developments in a novel kind of generalized global symmetry, the non-
invertible symmetry, in diverse spacetime dimensions. We start with several different but …

A bstract SU (N) gauge theory is time reversal invariant at θ= 0 and θ= π. We show that at θ=
π there is a discrete't Hooft anomaly involving time reversal and the center symmetry. This …

We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …

The “symmetric mass generation”(SMG) quantum phase transition discovered in recent
years has attracted great interest from both condensed matter and high energy theory …

We analyze pairing of fermions in two dimensions for fully gapped cases with broken parity
(P) and time reversal (T), especially cases in which the gap function is an orbital angular …

This article is an interdisciplinary review of lattice gauge theory and spin systems. It
discusses the fundamentals, both physics and formalism, of these related subjects. Spin …

Composites formed from charged particles and vortices in (2+ 1)-dimensional models, or flux
tubes in three-dimensional models, can have any (fractional) angular momentum. The …