Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …

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 new kind of foliated quantum field theory (FQFT) of gapped fracton orders in
the continuum. FQFT is defined on a manifold with a layered structure given by one or more …

Long-range entangled quantum states--like cat states and topological order--are key for
quantum metrology and information purposes, but they cannot be prepared by any scalable …

Fracton phases exhibit striking behavior which appears to render them beyond the standard
topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter …

Despite growing interest in beyond-group symmetries in quantum condensed matter
systems, there are relatively few microscopic lattice models explicitly realizing these …

We propose a superfluid phase of “many-fracton system” in which charge and total dipole
moments are conserved quantities. In this work, both microscopic model and long …

In theories with conserved dipole moment, isolated charged particles (fractons) are
immobile, but dipoles can move. We couple these dipoles to the fracton gauge theory and …

Fracton order describes novel quantum phases of matter that host quasiparticles with
restricted mobility and, thus, lies beyond the existing paradigm of topological order. In …

We introduce lattice gauge theories which describe three-dimensional, gapped quantum
phases exhibiting the phenomenology of both conventional three-dimensional topological …