An explicit large deviation analysis of the spatial cycle Huang-Yang-Luttinger model

Abstract

Here we introduce a family of spatial cycle HYL-type models in which the counter-term only affects cycles longer than some cut-off that diverges in the thermodynamic limit. We derive large deviation principles and explicit pressure expressions for these models, and use the zeroes of the rate functions to study Bose-Einstein condensation.

19 pages, 1 figure