Wormholes and holographic decoherence

TL;DR

This paper explores a holographic model of decoherence using wormhole geometries, showing how entanglement in thermo-field double states diminishes over time due to energy exchange, leading to loss of correlations.

Contribution

It introduces a holographic framework for decoherence via four-boundary wormholes, analyzing entanglement decay and classical-quantum correlation loss in thermo-field double states.

Findings

Entanglement in thermo-field double states fully decoheres over time.

Holographic wormhole geometries model the decoherence process.

Correlations are lost both classically and quantum mechanically.

Abstract

We study a class of decoherence process which admits a 3 dimensional holographic bulk. Starting from a thermo-field double dual to a wormhole, we prepare another thermo-field double which plays the role of environment. By allowing the energy flow between the original and environment thermo-field double, the entanglement of the original thermo-field double eventually decoheres. We model this decoherence by four-boundary wormhole geometries, and study the time-evolution of the moduli parameters to see the change of the entanglement pattern among subsystems. A notable feature of this holographic decoherence processes is that at the end point of the processes, the correlations of the original thermo-field double are lost completely both classically and also quantum mechanically. We also discuss distinguishability between thermo-field double state and thermo mixed double state, which contains only classical correlations, and construct a code subspace toy model for that.