Entanglement spreading in non-equilibrium integrable systems

TL;DR

This paper reviews recent progress in understanding how entanglement spreads in isolated integrable quantum systems out of equilibrium, emphasizing the quasiparticle picture and its predictive power across various models.

Contribution

It introduces a unified framework linking thermodynamic entropy and entanglement growth, providing quantitative predictions for entanglement dynamics in integrable systems.

Findings

Entanglement entropy growth can be predicted using the quasiparticle picture.

Stationary thermodynamic entropy corresponds to entanglement accumulated during dynamics.

The approach applies to arbitrary integrable models regardless of interaction strength.

Abstract

These are lecture notes for a short course given at the Les Houches Summer School on ``Integrability in Atomic and Condensed Matter Physics'', in summer 2018. Here, I pedagogically discuss recent advances in the study of the entanglement spreading during the non-equilibrium dynamics of isolated integrable quantum systems. I first introduce the idea that the stationary thermodynamic entropy is the entanglement accumulated during the non-equilibrium dynamics and then join such an idea with the quasiparticle picture for the entanglement spreading to provide quantitive predictions for the time evolution of the entanglement entropy in arbitrary integrable models, regardless of the interaction strength.