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Central Limit Theorem for Bose-Einstein Condensates

Mathematical Physics 2019-09-06 v2 math.MP

Abstract

We consider a Bose gas trapped in the unit torus in the Gross-Pitaevskii regime. In the ground state, we prove that fluctuations of bounded one-particle observables satisfy a central limit theorem.

Keywords

Cite

@article{arxiv.1903.00365,
  title  = {Central Limit Theorem for Bose-Einstein Condensates},
  author = {Simone Rademacher and Benjamin Schlein},
  journal= {arXiv preprint arXiv:1903.00365},
  year   = {2019}
}

Comments

22 pages

R2 v1 2026-06-23T07:55:31.972Z