# Universal equilibrium scaling functions at short times after a quench

## TL;DR

This paper demonstrates that equilibrium near-critical properties can be extracted from short-time dynamics after a quench in quantum spin models, facilitating experimental studies on quantum simulators.

## Contribution

The authors introduce a method to determine equilibrium properties from short-time post-quench dynamics, applicable to both integrable and nonintegrable 1D spin models.

## Key findings

- Equilibrium properties can be inferred from short-time correlation functions.
- The method is viable for quantum simulators with ultracold atoms or trapped ions.
- Results are supported by both analytic and numerical analysis.

## Abstract

By analyzing spin-spin correlation functions at relatively short distances, we show that equilibrium near-critical properties can be extracted at short times after quenches into the vicinity of a quantum critical point. The time scales after which equilibrium properties can be extracted are sufficiently short so that the proposed scheme should be viable for quantum simulators of spin models based on ultracold atoms or trapped ions. Our results, analytic as well as numeric, are for one-dimensional spin models, either integrable or nonintegrable, but we expect our conclusions to be valid in higher dimensions as well.