Holographic time-dependent entanglement entropy in $p$-brane gas geometries

TL;DR

This paper investigates how entanglement entropy evolves over time in holographic models of expanding universes with p-brane gases, revealing a transition from volume to area law behavior and exploring quantum entanglement across the cosmological horizon.

Contribution

It introduces a holographic braneworld model with p-brane gases to study time-dependent entanglement entropy in expanding universes, highlighting the transition from volume to area law.

Findings

Entanglement entropy increases with volume law at early times.

Entanglement entropy transitions to area law at late times.

Quantum entanglement across the cosmological horizon is analyzed.

Abstract

We study the time evolution of entanglement entropy in expanding universes with various matters. To describe expanding universes holographically, we take into account a braneworld moving in an asymptotic AdS space involving a uniform $p$-brane gas. In the braneworld model, an observer living in the braneworld detects the bulk motion of the braneworld as an expanding universe. We show that the entanglement entropy of expanding universes increases by the volume law in the early time and by the area law in the late time. We further consider the cosmological horizon, which is the border of the visible and invisible universe, and then investigate the time-dependent quantum entanglement between them across the cosmological horizon.