Large scale dynamics of integrable systems

Abstract

In this thesis, we consider a hydrodynamic approach to study the out-of-equilibrium dynamics of integrable systems, termed generalized hydrodynamics (GHD). The theory goes beyond the conventional hydrodynamics by accounting for an in nite number of conserved charges in integrable systems. This seemingly formidable task is achieved by making use of Thermodynamic Bethe ansatz, whereby the hydrodynamic equations are cast into continuity equations for the distribution of quasi-particles. The idea is then illustrated using a particular nonequilibrium protocol through which the power of GHD becomes evident. Subsequently we explore several aspects of GHD, which includes the equivalence between GHD and hydrodynamics of certain classical systems, and also the application of GHD to low-temperature dynamics. An analytical derivation of one of the key ingredients in GHD will also be provided.

Date of Award	1 Feb 2020
Original language	English
Awarding Institution	King's College London
Supervisor	Benjamin Doyon (Supervisor)