On the Time Evolution of Holographic n-partite Information

TL;DR

This paper investigates how n-partite information evolves over time during thermalization in holographic systems, revealing that its sign depends on whether n is even or odd, indicating an intrinsic property of dual field theories.

Contribution

It introduces a holographic approach to analyze the sign and scaling behavior of n-partite information during thermalization, highlighting a parity-dependent property.

Findings

n-partite information is positive for even n

n-partite information is negative for odd n

signs are intrinsic to field theories with gravity duals

Abstract

We study various scaling behaviors of n-partite information during a process of thermalization after a global quantum quench for n disjoint system consisting of n parallel strips whose widths are much larger than the separation between them. By making use of the holographic description for entanglement entropy we explore holographic description of the n-partite information by which we show that it has a definite sign: it is positive for even n and negative for odd n. This might be thought of as an intrinsic property of a field theory which has gravity dual.