Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications
Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. 2024.Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications. In: Physics and the Nature of Reality. Fundamental Theories of Physics, vol. 215, 307–321.
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Bassi, Angelo;
Goldstein, Sheldon;
Tumulka, Roderich;
Zanghi, Nino
Department
Series Title
Fundamental Theories of Physics
Abstract
We consider a gas of N bosons with interactions in the mean-field scaling regime. We review a recent proof of the asymptotic expansion of its spectrum and eigenstates and two applications of this result, namely the derivation of an Edgeworth expansion for fluctuations of one-body operators and the computation of the binding energy of an inhomogeneous Bose gas to any order. Finally, we collect related results for the dynamics of the weakly interacting Bose gas and for the regularized Nelson model.
Publishing Year
Date Published
2024-02-04
Book Title
Physics and the Nature of Reality
Publisher
Springer Nature
Acknowledgement
It is our pleasure to thank Marco Falconi, Nataša Pavlović, Peter Pickl, Robert Seiringer and Avy Soffer for the collaboration on the works [11, 13, 14, 21, 33, 39]. L.B. was supported by the German Research Foundation within the Munich Center of Quantum Science and Technology (EXC 2111). N.L. acknowledges support from the Swiss National Science Foundation through the NCCR SwissMap and funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101024712. S.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - project number 512258249.
Volume
215
Page
307-321
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IST-REx-ID
Cite this
Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications. In: Bassi A, Goldstein S, Tumulka R, Zanghi N, eds. Physics and the Nature of Reality. Vol 215. FTPH. Cham: Springer Nature; 2024:307-321. doi:10.1007/978-3-031-45434-9_22
Bossmann, L., Leopold, N., Mitrouskas, D. J., & Petrat, S. (2024). Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications. In A. Bassi, S. Goldstein, R. Tumulka, & N. Zanghi (Eds.), Physics and the Nature of Reality (Vol. 215, pp. 307–321). Cham: Springer Nature. https://doi.org/10.1007/978-3-031-45434-9_22
Bossmann, Lea, Nikolai Leopold, David Johannes Mitrouskas, and Sören Petrat. “Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications.” In Physics and the Nature of Reality, edited by Angelo Bassi, Sheldon Goldstein, Roderich Tumulka, and Nino Zanghi, 215:307–21. FTPH. Cham: Springer Nature, 2024. https://doi.org/10.1007/978-3-031-45434-9_22.
L. Bossmann, N. Leopold, D. J. Mitrouskas, and S. Petrat, “Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications,” in Physics and the Nature of Reality, vol. 215, A. Bassi, S. Goldstein, R. Tumulka, and N. Zanghi, Eds. Cham: Springer Nature, 2024, pp. 307–321.
Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. 2024.Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications. In: Physics and the Nature of Reality. Fundamental Theories of Physics, vol. 215, 307–321.
Bossmann, Lea, et al. “Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications.” Physics and the Nature of Reality, edited by Angelo Bassi et al., vol. 215, Springer Nature, 2024, pp. 307–21, doi:10.1007/978-3-031-45434-9_22.
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