Non-equilibrium dynamics and stationary states of the Neumann classical integrable model after an interaction quench

EMILIO NICOLAS NESSI; GUSTAVO LOZANO; LETICIA CUGLIANDOLO

CABA

Conferencia; International Conference on Statistical Mechanics; 2019

IUPAP y Departamento de Física de la UBA

The Neumann model is the simplest non-trivial integrable classical model. It describes the dynamics of a particle constrained to move on the N − 1 dimensional sphere under the effect of harmonic forces. Its constant of motion are know explicitly. If the harmonic constants are random gaussian numbers, the model is a Hamiltonian version of the p-spin model, with p=2. We study its dynamics after a sudden change in the harmonic constants starting from an equilibrium state. We characterize its dynamics after the quench and show that the model does not thermalize to a Gibbs ensemble. Instead we show that the model equilibrates to the Generalized Gibbs Ensemble constructed from its conserved charges.