Real-time dynamics in the one-dimensional Hubbard model

TL;DR

This paper investigates the real-time evolution of single-particle properties in the 1D Hubbard model using matrix-product states, confirming nonlinear Luttinger liquid predictions and enhancing spectral function analysis.

Contribution

It introduces a combined numerical and theoretical approach to accurately determine the spectral function at high frequency resolution.

Findings

Numerical results agree with nonlinear Luttinger liquid theory at late times.

The method improves spectral function resolution.

Provides insights into single-particle dynamics in 1D Hubbard model.

Abstract

We consider single-particle properties in the one-dimensional repulsive Hubbard model at commensurate fillings in the metallic phase. We determine the real-time evolution of the retarded Green's function by matrix-product state methods. We find that at sufficiently late times the numerical results are in good agreement with predictions of nonlinear Luttinger liquid theory. We argue that combining the two methods provides a way of determining the single-particle spectral function with very high frequency resolution.