Fractonic Luttinger liquids and supersolids in a constrained Bose-Hubbard model

Abstract

Dynamical constraints have drastic consequences for the properties of many-particle quantum systems. Here, the authors study the quantum ground state phases in a fracton system of interacting bosons with dipole conservation. Through a combination of low-energy field theory and tensor network simulations, they identify a novel dipole Luttinger liquid phase as well as a fracton analogue of a supersolid state.