Large Deviation Principle for Non-Interacting Boson Random Point Processes

TL;DR

This paper establishes large deviation principles for the spatial distribution of non-interacting bosons in a perfect gas, especially in the Bose-Einstein condensation regime, and compares it with the normal phase.

Contribution

It provides the first large deviation results for boson point processes in the condensation regime, extending the understanding of their probabilistic behavior.

Findings

Large deviation principles are proven for boson point processes in the condensation regime.

Comparison with the normal phase reveals distinct probabilistic behaviors.

Results enhance the mathematical understanding of Bose-Einstein condensation phenomena.

Abstract

Limit theorems, including the large deviation principle, are established for random point processes (fields), which describe the position distributions of the perfect boson gas in the regime of the Bose-Einstein condensation. We compare these results with those for the case of the normal phase.