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

TL;DR

This paper introduces a family of spatial cycle models with a diverging cut-off, deriving large deviation principles and explicit pressure formulas to analyze Bose-Einstein condensation phenomena.

Contribution

It provides a novel large deviation analysis of HYL-type models with a diverging cycle cut-off, linking rate function zeros to Bose-Einstein condensation.

Findings

Derived explicit pressure expressions for the models.

Established large deviation principles for the spatial cycle models.

Used rate function zeros to study Bose-Einstein condensation.

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.