Deconstructing the Wormhole: Factorization, Entanglement and Decoherence

Abstract

We study the role of ensemble averaging in holography by exploring the relation between the universal late time behavior of the spectral form factor and the second Renyi entropy of a thermal mixed state of the doubled system. Both quantities receive contributions from wormhole saddle-points: in the former case they lead to non-factorization while in the latter context they quantify decoherence due to the interaction with an environment. Our reasoning indicates that the space-time continuity responsible for non-factorization and space-time continuity through entanglement are in direct competition with each other. In an accompanying paper, we examine this dual relationship in a general class of 1D quantum systems with the help of a simple geometric path integral prescription.

arXiv comment13 pages, 4 figures

References in corpus (11)

• Comments on the Sachdev-Ye-Kitaev model
• Replica Wormholes and the Entropy of Hawking Radiation
• Bulk Locality and Quantum Error Correction in AdS/CFT
• Wormholes in AdS
• Passing through the Firewall
• ER = EPR revisited: On the Entropy of an Einstein-Rosen Bridge
• Decoherence in Conformal Field Theory
• Black Hole Information as Topological Qubits
• Low Energy Thermodynamics of JT Gravity and Supergravity
• Non-Perturbative JT Gravity
• On the Quenched Free Energy of JT Gravity and Supergravity

Cited by in corpus (10)

• Gravity factorized
• Wormholes & Holography: An Introduction
• From operator statistics to wormholes
• Microstructure in matrix elements
• Comments on wormholes and factorization
• The refined quantum extremal surface prescription from the asymptotic equipartition property
• Gravity without averaging
• Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
• Baby universes, ensemble averages and factorizations with matters
• Product of Random States and Spatial (Half-)Wormholes