Exclusion bounds for extended anyons
Mathematical Physics
2017-08-31 v2 Quantum Gases
math.MP
Spectral Theory
Abstract
We introduce a rigorous approach to the many-body spectral theory of extended anyons, i.e. quantum particles confined to two dimensions that interact via attached magnetic fluxes of finite extent. Our main results are many-body magnetic Hardy inequalities and local exclusion principles for these particles, leading to estimates for the ground-state energy of the anyon gas over the full range of the parameters. This brings out further non-trivial aspects in the dependence on the anyonic statistics parameter, and also gives improvements in the ideal (non-extended) case.
Cite
@article{arxiv.1608.04684,
title = {Exclusion bounds for extended anyons},
author = {Simon Larson and Douglas Lundholm},
journal= {arXiv preprint arXiv:1608.04684},
year = {2017}
}
Comments
Accepted and final version. 51 pages 7 figures