The Fracton quantum gas

Abstract

Starting from a simple dipole-conserving Hamiltonian model, after introducing a proper quantisation framework, we construct the linear-response theory of a fracton quantum gas. We show how to consistently construct the density operator and we calculate the density-density linear-response function in the limit of large number of (fracton) flavours. We show how to construct its random-phase approximation, from which we calculate the fracton-plasmon dispersion.