Dynamical Transition in Interaction Quenches of the One-Dimensional Hubbard Model

TL;DR

This paper investigates the non-equilibrium dynamics of the one-dimensional Hubbard model after interaction quenches, revealing a dynamical transition at half-filling that disappears with doping, using extended equations of motion.

Contribution

It introduces a systematic method based on extended equations of motion to study dynamical transitions in the Hubbard model, applicable at small to moderate times.

Findings

Dynamical transition occurs at half-filling in the 1D Hubbard model.

Transition disappears when doping is introduced.

Similarities found with infinite-dimensional Hubbard model dynamics.

Abstract

We show that the non-equilibrium time-evolution after interaction quenches in the one dimensional, integrable Hubbard model exhibits a dynamical transition in the half-filled case. This transition ceases to exist upon doping. Our study is based on systematically extended equations of motion. Thus it is controlled for small and moderate times; no relaxation effects are neglected. Remarkable similarities to the quench dynamics in the infinite dimensional Hubbard model are found suggesting dynamical transitions to be a general feature of quenches in such models.