# Dynamical phase transition in the 1D-transverse field Ising chain characterized by the transverse magnetization spectral function

## TL;DR

This paper investigates a dynamical phase transition in a 1D transverse field Ising model by analyzing the spectral function of transverse magnetization, revealing critical behavior and potential experimental detection methods.

## Contribution

It introduces a spectral function analysis as a new way to identify dynamical phase transitions in quantum spin chains.

## Key findings

- Spectral function vanishes at the dynamical critical point
- Criticality is indicated by the spectral function behavior
- Linear response can detect the phase transition

## Abstract

We study a 1D-Quantum Ising Model in transverse field driven out of equilibrium by performing a composite quantum quench to deduce the asymptotic properties of the transverse magnetization stationary state via the analysis of the spectral function. What emerges is that, in correspondence of the dynamical phase transition transition predicted for this model, the spectral function vanishes giving a hint of the criticality. This result suggests also that linear response experiment can be used to detect this kind of phase transition.