"Many-Body Physics in the Era of Quantum Science"
The study of condensed matter physics is a defining success of 20th century science. The first quantum revolution was fueled by our understanding of novel collective phases of systems of many interacting quantum particles. The traditional approach in many-body physics is largely built around the study of low-temperature and near-equilibrium properties of time-independent local Hamiltonians. We are now at the beginning of a second quantum revolution, driven by extraordinary efforts to build quantum devices for the generation and manipulation of quantum entanglement. These devices allow exquisite control over individual quantum entities, allowing for programmable and long-ranged interactions in tunable geometries, and giving us controlled access to the non-equilibrium dynamics of many-body quantum systems for the very first time. These developments have opened up vast new territories for many-body physics. I will describe some highlights of an active research program to advance many-body theory in two different directions: to quantum systems out-of-equilibrium, and to systems with non-local interactions in non-Euclidean geometries. For the former, I will describe recent work on "monitored" dynamics comprising unitary evolution and controlled measurements that realize novel entanglement and teleportation phases. For the latter, I will build on results in the theory of quantum error correction, namely low-depth parity check (LDPC) codes, and discuss how various physical ideas such as gauge theories can be generalized to this context.
