Central limit theorem for Bose gases interacting through singular potentials

S.A.E. Rademacher, Letters in Mathematical Physics (2020).


Journal Article | Epub ahead of print | English

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Abstract
We consider a system of N bosons in the limit N→∞, interacting through singular potentials. For initial data exhibiting Bose–Einstein condensation, the many-body time evolution is well approximated through a quadratic fluctuation dynamics around a cubic nonlinear Schrödinger equation of the condensate wave function. We show that these fluctuations satisfy a (multi-variate) central limit theorem.
Publishing Year
Date Published
2020-03-12
Journal Title
Letters in Mathematical Physics
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Cite this

Rademacher SAE. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 2020. doi:10.1007/s11005-020-01286-w
Rademacher, S. A. E. (2020). Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. https://doi.org/10.1007/s11005-020-01286-w
Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics, 2020. https://doi.org/10.1007/s11005-020-01286-w.
S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through singular potentials,” Letters in Mathematical Physics, 2020.
Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics.
Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics, Springer Nature, 2020, doi:10.1007/s11005-020-01286-w.
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