Wormholes and holographic decoherence
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.
Cite
@article{arxiv.2012.03514,
title = {Wormholes and holographic decoherence},
author = {Takanori Anegawa and Norihiro Iizuka and Kotaro Tamaoka and Tomonori Ugajin},
journal= {arXiv preprint arXiv:2012.03514},
year = {2021}
}
Comments
34 pages, 11 figures. v2: numerical plots of section 3.1 corrected. references added