Holographic control of information and dynamical topology change for composite open quantum systems

TL;DR

This paper explores how the compositeness of open quantum systems affects their entanglement dynamics and equilibration times, revealing non-smooth evolution and topology changes in a holographic framework.

Contribution

It introduces a holographic approach to analyze entanglement and mutual information dynamics in composite quantum systems, highlighting topology changes and jump-like behavior.

Findings

Holographic entanglement entropy evolution shows non-smooth behavior in composite systems.

Number of entanglement jumps depends on system configuration and number of parts.

Identifies five distinct types of mutual information dynamics with parameter ranges.

Abstract

We investigate how the compositeness of a quantum system influences the characteristic time of equilibration. We study the dynamics of open composite quantum systems strongly coupled to the environment after a quantum perturbation accompanied by non-equilibrium heating. We use a holographic description of the evolution of entanglement entropy. The non-smooth character of the evolution with holographic entanglement is a general feature of composite systems, which demonstrate a dynamical change of topology in the bulk space and a jump-like velocity change of entanglement entropy propagation. Moreover, the number of jumps depends on the system configuration and especially on the number of composite parts. The evolution of the mutual information of two composite systems inherits these jumps. We present a detailed study of the mutual information for two subsystems with one of them being bipartite. We have found 5 qualitatively different types of behavior of the mutual information dynamics and indicated the corresponding ranges of system parameters.