Tom Price

Research

I work on the hydrodynamics of non-linear Luttinger liquids. In one dimension, the low energy properties of a system have long been known to be described by the Luttinger liquid, a quantum mechanical state comprising of non-interacting, non-dispersing density waves. In recent years it has been realised that this description falls short in resolving quantities such as the density-density response function at fixed momentum, which is necessarily a delta-function peak if the density waves cannot decay. Calculating perturbatively in the ratio of interaction to dispersion, we can zoom in on the response function in the vicinity of the classical solutions to the hydrodynamic theory. We are currently interested in whether this non-linear dynamics may be found at the quantum Hall edge, and whether there is a connection to the bulk "odd viscosity" transport coefficient.