Fracton hydrodynamics

Understand

We introduce new classes of hydrodynamic theories inspired by the recently discovered fracton phases of quantum matter.

• Fracton phases are characterized by elementary excitations (fractons) with restricted mobility.
• The hydrodynamic theories we introduce describe thermalization in systems with fracton-like mobility constraints, including fluids where charge and dipole moment are both locally conserved, and fluids where charge is conserved along every line or plane of a lattice.
• Each of these fluids is subdiffusive, and constitutes a new universality class of hydrodynamic behavior.