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

by Manuel Kreye, Stefan Kehrein

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

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