Entanglement negativity after a global quantum quench

TL;DR

This paper investigates how entanglement negativity evolves over time after a global quantum quench, revealing quasi-particle spreading and unique lattice effects like late birth and sudden death of entanglement.

Contribution

It extends the understanding of entanglement negativity dynamics post-quench by confirming the quasi-particle picture and identifying novel lattice-specific phenomena.

Findings

Negativity follows the quasi-particle interpretation.

Identifies late birth of entanglement in lattice models.

Discovers sudden death of entanglement phenomena.

Abstract

We study the time evolution of the logarithmic negativity after a global quantum quench. In a 1+1 dimensional conformal invariant field theory, we consider the negativity between two intervals which can be either adjacent or disjoint. We show that the negativity follows the quasi-particle interpretation for the spreading of entanglement. We check and generalise our findings with a systematic analysis of the negativity after a quantum quench in the harmonic chain, highlighting two peculiar lattice effects: the late birth and the sudden death of entanglement.