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Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble
Andreas Deuchert, Xuanyu Li·August 26, 2026
Mathematical Physicscond-mat.quant-gasmath.PRQuantum Physics
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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.