We propose that local quantum systems defined on expander graphs provide a simple microscopic model for thermalization on quantum horizons. Such systems are automatically fast scramblers and are motivated from the membrane paradigm by a conformal transformation to the so-called optical metric.
@article{arxiv.1204.6435,
title = {Fast Scramblers, Horizons and Expander Graphs},
author = {Jose L. F. Barbon and Javier M. Magan},
journal= {arXiv preprint arXiv:1204.6435},
year = {2015}
}
Comments
22 pages, 2 figures. Added further discussion in section 3. Added references