Flavored N=4 SYM -- a highly entangled quantum liquid
Abstract
We study N=4 SYM theory coupled to fundamental N=2 hypermultiplets in a state of finite charge density. The setup can be described holographically as a configuration of D3 and D7 branes with a non-trivial worldvolume gauge field on the D7. The phase has been identified as a new form of quantum liquid, where certain properties are those of a Fermi liquid while others are clearly distinct. We focus on the entanglement among the flavors, as quantified by the entanglement entropy. The expectation for a Fermi liquid would be a logarithmic enhancement of the area law, but we find a more drastic enhancement instead. The leading contributions are volume terms with a non-trivial shape dependence, signaling extensive entanglement among the flavors. At finite temperature these correlations are confined to a region of size given by the inverse temperature.
Keywords
Cite
@article{arxiv.1406.2705,
title = {Flavored N=4 SYM -- a highly entangled quantum liquid},
author = {Han-Chih Chang and Andreas Karch and Christoph F. Uhlemann},
journal= {arXiv preprint arXiv:1406.2705},
year = {2014}
}
Comments
16 pages, 2 figures; published version, references added