Entanglement Holonomies
High Energy Physics - Theory
2018-07-13 v1
Abstract
We introduce a quantum notion of parallel transport between subsystems of a quantum state whose holonomies characterize the structure of entanglement. In AdS/CFT, entanglement holonomies are reflected in the bulk spacetime connection. When the subsystems are a pair of holographic CFTs in an entangled state, our quantum transport measures Wilson lines threading the dual wormhole. For subregions of a single CFT it is generated by the modular Berry connection and computes the effect of the AdS curvature on the transport of minimal surfaces. Our observation reveals a new aspect of the spacetime-entanglement duality and yet another concept shared between gravity and quantum mechanics.
Cite
@article{arxiv.1807.04276,
title = {Entanglement Holonomies},
author = {Bartlomiej Czech and Lampros Lamprou and Leonard Susskind},
journal= {arXiv preprint arXiv:1807.04276},
year = {2018}
}
Comments
15 pages, 4 figures