BEC for a Coupled Two-type Hard Core Bosons Model
arXiv:math-ph/0003021 · doi:10.1016/S0378-4371(00)00614-2
Abstract
We study a solvable model of two types hard core Bose particles. A complete analysis is given of its equilibrium states including the proof of existence of Bose-Einstein condensation. The plasmon frequencies and the quantum normal modes corresponding to these frequencies are rigorously constructed. In particular we show a two-fold degeneracy of these frequencies. We show that all this results from spontaneous gauge symmetry breakdown.