Dependent random variables in quantum dynamics
Rademacher SAE. 2022. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 63(8), 081902.
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Abstract
We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding to dependent random variables, satisfy both a law of large numbers and a central limit theorem.
Publishing Year
Date Published
2022-08-25
Journal Title
Journal of Mathematical Physics
Publisher
AIP Publishing
Acknowledgement
S.R. would like to thank Robert Seiringer and Benedikt Stufler for helpful discussions. Funding from the European Union’s Horizon 2020 Research and Innovation Program under the ERC grant (Grant Agreement No. 694227) and under the Marie Skłodowska-Curie grant (Agreement No. 754411) is acknowledged.
Volume
63
Issue
8
Article Number
081902
ISSN
IST-REx-ID
Cite this
Rademacher SAE. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 2022;63(8). doi:10.1063/5.0086712
Rademacher, S. A. E. (2022). Dependent random variables in quantum dynamics. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0086712
Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0086712.
S. A. E. Rademacher, “Dependent random variables in quantum dynamics,” Journal of Mathematical Physics, vol. 63, no. 8. AIP Publishing, 2022.
Rademacher SAE. 2022. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 63(8), 081902.
Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” Journal of Mathematical Physics, vol. 63, no. 8, 081902, AIP Publishing, 2022, doi:10.1063/5.0086712.
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