Ground states for mean field models with a transverse component
arXiv:1210.2766 · doi:10.1007/s10955-013-0745-5
Abstract
We investigate global logarithmic asymptotics of ground states for a family of quantum mean field models. Our approach is based on a stochastic representation and a combination of large deviation and weak KAM techniques. The spin- 1/2 case is worked out in more detail.
21 pages, 2 figures