# Analysis of time-resolved single-particle spectrum on the one-dimensional extended Hubbard model

## TL;DR

This paper studies the short-time dynamics of the one-dimensional extended Hubbard model under laser excitation, revealing how spectral features evolve and relate to underlying phases and excitations.

## Contribution

It introduces a combined approach using twisted boundary conditions and time-dependent Lanczos to analyze high-resolution spectral dynamics in a strongly correlated system.

## Key findings

- Spectral oscillation frequencies match optical gap magnitudes.
- Charge-density-wave phase exhibits distinct spectral evolution.
- Photoinduced bond-order background influences spectral bands.

## Abstract

We investigate the short-time evolution of the half filled one-dimensional extended Hubbard model in the strong-coupling regime, driven by a transient laser pump. Combining twisted boundary conditions with the time-dependent Lanczos technique, we obtain snapshots of the single-particle spectral function with high momentum resolution. The analysis of the oscillations of the spectral function shows that its characteristic frequencies are consistent with the magnitudes of the optical gap. Furthermore, we examine the time-evolving spectral structure in the charge-density-wave phase in detail and find that one of the bands in the single-particle spectrum originates from the photoinduced bond-order background.