# Finite-time quantum quenches in the XXZ Heisenberg chain

## TL;DR

This paper investigates how two-point correlation functions evolve over time in the XXZ Heisenberg chain following a finite-time quantum quench, revealing delays in light-cone spreading linked to the quench protocol.

## Contribution

It provides a comparative analysis of numerical results and Luttinger model predictions for finite-time quenches, highlighting the impact of quench duration on correlation spreading.

## Key findings

- Good agreement between numerical simulations and Luttinger model
- Delay in light-cone emergence due to finite quench time
- Correlation spreading depends on quench protocol properties

## Abstract

We study the time evolution of the two-point correlation functions in the XXZ Heisenberg chain after a finite-time quantum quench in the anisotropy. We compare results from numerical simulations to ones obtained in the Luttinger model and find good agreement. We analyse the spreading of the correlations and the associated light-cone features. We observe a delay in the appearance of the light cone as compared to the sudden-quench setup, and link this delay to the properties of the quench protocol.