PreprintarXiv licencearXiv
Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble
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.
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BibTeX
@misc{deuchert2026large,
title = {{Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble}},
author = {Andreas Deuchert and Xuanyu Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.26378},
eprint = {2608.26378},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.26378},
}
RIS
TY - UNPB
TI - Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble
AU - Andreas Deuchert
AU - Xuanyu Li
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2608.26378
UR - https://arxiv.org/abs/2608.26378
AB - 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.
ER -