# Prethermalization of density-density correlations after an interaction quench in the Hubbard model

### Submission summary

 As Contributors: Manuel Kreye Arxiv Link: https://arxiv.org/abs/1908.10685v1 Date submitted: 2019-08-30 Submitted by: Kreye, Manuel Submitted to: SciPost Physics Domain(s): Theoretical Subject area: Quantum Physics

### Abstract

In weakly perturbed systems that are close to integrability, thermalization can be delayed by the formation of prethermalization plateaus. We study the build-up of density-density correlations after a weak interaction quench in the Hubbard model in $d > 1$ dimensions using unitary perturbation theory. Starting from a pre-quench state at temperature $T$, we show that the prethermalization values of the post-quench correlations are equal to the equilibrium values of the interacting model at the same temperature $T$. This is explained by the local character of density-density correlations.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 1908.10685v1 on 30 August 2019