Entanglement dynamics in critical random quantum Ising chain with perturbations

TL;DR

This paper investigates how entanglement evolves over time in a critical random quantum Ising chain with perturbations, using numerical simulations that align with analytical predictions, revealing super-logarithmic growth.

Contribution

It provides numerical evidence for super-logarithmic entanglement growth in a perturbed critical quantum Ising chain, confirming analytical predictions.

Findings

Super-logarithmic entanglement growth observed

Numerical results agree with real-space RG predictions

Entanglement dynamics characterized in perturbed critical chains

Abstract

We simulate the entanglement dynamics in a critical random quantum Ising chain with generic perturbations using the time-evolving block decimation algorithm. Starting from a product state, we observe super-logarithmic growth of entanglement entropy with time. The numerical result is consistent with the analytical prediction of Vosk and Altman using a real-space renormalization group technique.