Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble
Year: 2026
Type: preprint
Abstract: We consider a non-interacting Bose gas governed by a general one-particle Hamiltonian in the canonical ensemble. Our main results are large-deviation estimates for the number of particles in the Bose--Einstein condensate. We show that the left- and right-tail probabilities decay at different exponential rates as the number of particles tends to infinity.
Source: arXiv (Cornell University)
Authors: Deuchert, Andreas, Li, Xuanyu
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W7204521509