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Quantum Algorithms

Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble

arXiv
Authors: Andreas Deuchert, Xuanyu Li

Year

2026

Paper ID

76303

Status

Preprint

Abstract Read

~2 min

Abstract Words

52

Citations

N/A

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.

Why This Paper Matters

  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We consider a non-interacting Bose gas governed by a general one-particle Hamiltonian in the canonical ensemble.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2608.26378 [2] arXiv https://arxiv.org/abs/2608.26378 [3] Publisher https://arxiv.org/abs/2608.26378

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