Topological Order and Reflection Positivity
Quantum Physics
2014-03-19 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
The interplay between the two fundamental concepts of topological order and reflection positivity allows one to characterize the ground states of certain many-body Hamiltonians. We define topological order in an appropriate fashion and show that certain operators have positive expectation value in all ground states. We apply our method to vortex loops in a model relevant to topological quantum memories.
Keywords
Cite
@article{arxiv.1310.5370,
title = {Topological Order and Reflection Positivity},
author = {Arthur Jaffe and Fabio L. Pedrocchi},
journal= {arXiv preprint arXiv:1310.5370},
year = {2014}
}
Comments
3 pages, 1 figure