Revival dynamics in a traversable wormhole
Abstract
Quantum effects can stabilize wormhole solutions in general relativity, allowing information and matter to be transported between two connected spacetimes. Here we study the revival dynamics of signals sent between two weakly coupled quantum chaotic systems, represented as identical Sachdev-Ye-Kitaev models, that realize holographically a traversable wormhole in anti-de Sitter spacetime AdS for large number of particles. In this limit we find clear signatures of wormhole behavior: an excitation created in one system is quickly scrambled under its unitary dynamics, and is reassembled in the other system after a characteristic time consistent with holography predictions. This leads to revival oscillations that at low but finite temperature decay as a power-law in time. For small we also observe revivals and show that they arise from a different, non-gravitational mechanism.
Cite
@article{arxiv.2003.03914,
title = {Revival dynamics in a traversable wormhole},
author = {Stephan Plugge and Étienne Lantagne-Hurtubise and Marcel Franz},
journal= {arXiv preprint arXiv:2003.03914},
year = {2020}
}
Comments
6+6 pages, 4+3 figures. Comments welcome. Note also an interesting parallel study by X.-L. Qi and P. Zhang that appeared in a parallel posting. v2: updated Fig. 1 and discussion, updated discussion of finite temperature effects, revised supplementary material