Holographic Mutual and Tripartite Information in a Symmetry Breaking Quench

TL;DR

This paper investigates the evolution of holographic mutual and tripartite information during a quench from a zero-temperature CFT to a Lifshitz field theory, revealing universal behaviors and the monogamous nature of mutual information.

Contribution

It demonstrates that symmetry breaking does not affect phase space but influences mutual and tripartite information, and uncovers universal scaling of certain information measures during the quench.

Findings

Symmetry breaking does not affect phase space or disentangling length.

Mutual and tripartite information depend on the rate of symmetry breaking.

Universal behavior of $t_{eq}\delta t^{-1}$ for large $\delta t$.

Abstract

We study the time evolution of holographic mutual and tripartite information for a zero temperature $CFT$, derives to a non-relativistic thermal Lifshitz field theory by a quantum quench. We observe that the symmetry breaking does not play any role in the phase space, phase of parameters of sub-systems, and the length of disentangling transition. Nevertheless, mutual and tripartite information indeed depend on the rate of symmetry breaking. We also find that for large enough values of $\delta t$ the quantity $t_{eq}\delta t^{-1}$, where $\delta t$ and $t_{eq}$ are injection time and equilibration time respectively, behaves universally, $i.e.$ its value is independent of length of separation between sub-systems. We also show that tripartite information is always non-positive during the process indicates that mutual information is monogamous.