"Polar" and "antiferromagnetic" order in f=1 many-boson systems
Quantum Gases
2015-06-15 v2 Statistical Mechanics
Mathematical Physics
math.MP
Quantum Physics
Abstract
In a system of interacting f=1 bosons (in the subspace where the total spin in the z-direction is vanishing), we prove inequalities for the ground state expectation value of the density of spin-0 bosons. The inequalities imply that the ground state possesses "polar" or "antiferromagnetic" order when the quadratic Zeeman term q is large enough. In the low density limit, the inequalities establish the existence of a sharp transition at q=0 when q is varied.
Keywords
Cite
@article{arxiv.1302.6349,
title = {"Polar" and "antiferromagnetic" order in f=1 many-boson systems},
author = {Hal Tasaki},
journal= {arXiv preprint arXiv:1302.6349},
year = {2015}
}
Comments
5 pages. version 2: some changes in the introduction and the discussion on the symmetry breaking. This version will appear in Phys. Rev. Lett