Entanglement propagation and dynamics in non-additive quantum systems

TL;DR

This paper investigates how entanglement spreads and evolves in long-range interacting quantum systems, revealing unique scaling behaviors and dynamics that differ from traditional models, with implications for quantum technology.

Contribution

It introduces a detailed analysis of entanglement dynamics in non-additive quantum systems, highlighting novel scaling regimes and resonant modes at intermediate sizes.

Findings

Entanglement dynamics are suppressed in the thermodynamic limit.

Multiple resonant modes can be triggered at intermediate system sizes.

Predictions for entanglement propagation shape and timescales are provided.

Abstract

The prominent collective character of long-range interacting quantum systems makes them promising candidates for quantum technological applications. Yet, lack of additivity overthrows the traditional picture for entanglement scaling and transport, due to the breakdown of the common mechanism based on excitations propagation and confinement. Here, we describe the dynamics of the entanglement entropy in many-body quantum systems with a diverging contribution of the long-range two body potential to the internal energy. While in the strict thermodynamic limit entanglement dynamics is shown to be suppressed, a rich mosaic of novel scaling regimes is observed at intermediate system sizes, due to the possibility to trigger multiple resonant modes in the global dynamics. Quantitative predictions on the shape and timescales of entanglement propagation are made, paving the way to the observation of these phases in current quantum simulators. This picture is connected and contrasted with the case of local many body systems subject to Floquet driving.