A note on the binding energy for Bosons in the mean-field limit
Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. 2024. A note on the binding energy for Bosons in the mean-field limit. Journal of Statistical Physics. 191(4), 48.
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Abstract
We consider a gas of N weakly interacting bosons in the ground state. Such gases exhibit Bose–Einstein condensation. The binding energy is defined as the energy it takes to remove one particle from the gas. In this article, we prove an asymptotic expansion for the binding energy, and compute the first orders explicitly for the homogeneous gas. Our result addresses in particular a conjecture by Nam (Lett Math Phys 108(1):141–159, 2018), and provides an asymptotic expansion of the ionization energy of bosonic atoms.
Publishing Year
Date Published
2024-04-06
Journal Title
Journal of Statistical Physics
Acknowledgement
It is a pleasure to thank Phan Thành Nam for helpful discussions on bosonic atoms. L.B. was supported by the German Research Foundation within the Munich Center of Quantum Science and Technology (EXC 2111). N.L. gratefully 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.
Open Access funding enabled and organized by Projekt DEAL.
Volume
191
Issue
4
Article Number
48
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Cite this
Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. A note on the binding energy for Bosons in the mean-field limit. Journal of Statistical Physics. 2024;191(4). doi:10.1007/s10955-024-03260-5
Bossmann, L., Leopold, N. K., Mitrouskas, D. J., & Petrat, S. P. (2024). A note on the binding energy for Bosons in the mean-field limit. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-024-03260-5
Bossmann, Lea, Nikolai K Leopold, David Johannes Mitrouskas, and Sören P Petrat. “A Note on the Binding Energy for Bosons in the Mean-Field Limit.” Journal of Statistical Physics. Springer Nature, 2024. https://doi.org/10.1007/s10955-024-03260-5.
L. Bossmann, N. K. Leopold, D. J. Mitrouskas, and S. P. Petrat, “A note on the binding energy for Bosons in the mean-field limit,” Journal of Statistical Physics, vol. 191, no. 4. Springer Nature, 2024.
Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. 2024. A note on the binding energy for Bosons in the mean-field limit. Journal of Statistical Physics. 191(4), 48.
Bossmann, Lea, et al. “A Note on the Binding Energy for Bosons in the Mean-Field Limit.” Journal of Statistical Physics, vol. 191, no. 4, 48, Springer Nature, 2024, doi:10.1007/s10955-024-03260-5.
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