FK-DLR properties of a quantum multi-type bose-gas with a repulsive interaction
Mathematical Physics
2015-06-16 v2 math.MP
Abstract
The paper extends earlier results from \cite{SK}, \cite{SKS} about infinite-volume quantum bosonic states (FK-DLR states) to the case of multi-type particles with non-negative interactions. (An example is a quantum Widom--Rowlinson model.) Following the strategy from \cite{SK}, \cite{SKS}, we establish that, for the values of fugacity and inverse temperature , finite-volume Gibbs states form a compact family in the thermodynamic limit. Next, in dimension two we show that any limit-point state (an FK-DLR state in the terminology adopted in \cite{SK}, \cite{SKS}) is translation-invariant.
Keywords
Cite
@article{arxiv.1307.0054,
title = {FK-DLR properties of a quantum multi-type bose-gas with a repulsive interaction},
author = {Y. Suhov and I. Stuhl},
journal= {arXiv preprint arXiv:1307.0054},
year = {2015}
}