Central Limit Theorem for Bose-Einstein Condensates
arXiv:1903.00365 · doi:10.1063/1.5094348
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.
arXiv comment22 pages
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Cited by in corpus (9)
- Central limit theorem for Bose gases interacting through singular potentials
- A large deviation principle in many-body quantum dynamics
- Large deviation estimates for weakly interacting bosons
- Bosons in a double well: two-mode approximation and fluctuations
- Weak Edgeworth expansion for the mean-field interacting Bose gas
- A note on dependent random variables in quantum dynamics
- Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross-Pitaevskii Regime
- Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas
- Reduced fluctuations for bosons in a double well