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math-ph2026
Random field approximation and local counting statistics for the weakly interacting thermal Bose gas
Andreas Deuchert, Marcin Napiórkowski, Błażej Ruba
We study weakly interacting bosons on the three-dimensional torus at temperatures proportional to the critical temperature for Bose--Einstein condensation. We show that, as the exp…
math-ph2026
Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble
Andreas Deuchert, Xuanyu Li
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 pa…