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 …

Fracton phases constitute a new class of quantum state of matter. They are characterized by
excitations that exhibit restricted mobility, being either immobile under local Hamiltonian …

We introduce new classes of hydrodynamic theories inspired by the recently discovered
fracton phases of quantum matter. Fracton phases are characterized by elementary …

Motivated by recent studies of fractons, we demonstrate that elasticity theory of a two-
dimensional quantum crystal is dual to a fracton tensor gauge theory, providing a concrete …

It has recently been shown that there exists a class of stable gapless spin liquids in 3+ 1
dimensions described by higher-rank tensor U (1) gauge fields, giving rise to an emergent …

In this work, we introduce a new type of topological order that is protected by subsystem
symmetries that act on lower-dimensional subsets of lattice many-body system, eg, along …

We study the spreading of initially local operators under unitary time evolution in a one-
dimensional random quantum circuit model that is constrained to conserve a U (1) charge …

A powerful mechanism for constructing gauge theories is to start from a theory with a global
symmetry, then apply the “gauge principle,” which demands that this symmetry hold locally …

Finite-depth quantum circuits preserve the long-range entanglement structure in quantum
states and map between states within a gapped phase. To map between states of different …

Spin liquids are conventionally described by gauge theories with a vector gauge field.
However, there exists a wider class of spin liquids with higher rank tensors as the gauge …