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arXiv · 2012.03514

Wormholes and holographic decoherence

Takanori Anegawa·Norihiro Iizuka·Kotaro Tamaoka·Tomonori Ugajin
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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.

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Takanori Anegawa, Norihiro Iizuka, Kotaro Tamaoka, Tomonori Ugajin. 2021-03-16. Wormholes and holographic decoherence. https://doi.org/10.1007/jhep03(2021)214

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