Central limit theorem for Bose gases interacting through singular potentials
Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174.
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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
Publisher
Springer Nature
Acknowledgement
Simone Rademacher acknowledges partial support from the NCCR SwissMAP. This project has received
funding from the European Union’s Horizon 2020 research and innovation program under the Marie
Skłodowska-Curie Grant Agreement No. 754411.
Open access funding provided by Institute of Science and Technology (IST Austria).
S.R. would like to thank Benjamin Schlein for many fruitful discussions.
Volume
110
Page
2143-2174
ISSN
eISSN
IST-REx-ID
Cite this
Rademacher SAE. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 2020;110:2143-2174. 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. Springer Nature. 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. Springer Nature, 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, vol. 110. Springer Nature, pp. 2143–2174, 2020.
Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174.
Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics, vol. 110, Springer Nature, 2020, pp. 2143–74, doi:10.1007/s11005-020-01286-w.
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