To use quantum systems for technological applications one first needs to preserve their
coherence for macroscopic time scales, even at finite temperature. Quantum error correction …

A fundamental distinction between many-body quantum states are those with short-and long-
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …

We introduce a generalization of conventional lattice gauge theory to describe fracton
topological phases, which are characterized by immobile, pointlike topological excitations …

We introduce exactly solvable models of interacting (Majorana) fermions in d≥ 3 spatial
dimensions that realize a new kind of fermion topological quantum order, building on a …

In this work, we develop a coupled layer construction of fracton topological orders in d= 3
spatial dimensions. These topological phases have subextensive topological ground-state …

We present an effective field theory approach to the fracton phases. The approach is based
on the notion of a multipole algebra. It is an extension of space (time) symmetries of a …

We investigate relaxation in the recently discovered “fracton” models and discover that these
models naturally host glassy quantum dynamics in the absence of quenched disorder. We …

Gauging is a ubiquitous tool in many-body physics. It allows one to construct highly
entangled topological phases of matter from relatively simple phases and to relate certain …

A big open question in the quantum information theory concerns the feasibility of a self-
correcting quantum memory. A quantum state recorded in such memory can be stored …

The (2+ 1)-dimensional continuum Lifshitz theory of a free compact scalar field plays a
prominent role in a variety of quantum systems in condensed matter physics and high …