Time Evolution of Multi-Party Entanglement Signals

TL;DR

This paper investigates the real-time development of multi-party entanglement in chaotic quantum systems, revealing complex behaviors, phase transitions, and the use of membrane theory to analyze entanglement dynamics.

Contribution

It introduces a detailed analysis of multiparty entanglement evolution in chaotic systems, highlighting new dynamical behaviors and phase transitions.

Findings

Different entanglement signals exhibit distinct dynamical behaviors.

Dynamical phase transitions are indicated by discontinuities in entanglement signals.

Periods of purely multipartite entanglement are identified.

Abstract

We study the real-time dynamics of multi-party entanglement signals in chaotic quantum many-body systems including but not necessarily restricted to holographic conformal field theories. We find that scrambling dynamics generates multiparty entanglement with rich structure including: (a) qualitatively different dynamical behaviours for different signals, likely reflecting different dynamics for different kinds of entanglement patterns, (b) discontinuities indicating dynamical phase transitions in the entanglement structure, (c) transient and non-monotonic multiparty entanglement, and (d) periods during which the extensive entanglement of some regions is entirely multipartite. Our main technical tool is the membrane theory of entanglement dynamics.