Abstract
AbstractWe consider N bosons in a box with volume one, interacting through a two-body potential with scattering length of the order $$N^{-1+\kappa }$$
N
-
1
+
κ
, for $$\kappa >0$$
κ
>
0
. Assuming that $$\kappa \in (0;1/43)$$
κ
∈
(
0
;
1
/
43
)
, we show that low-energy states exhibit Bose–Einstein condensation and we provide bounds on the expectation and on higher moments of the number of excitations.
Funder
H2020 European Research Council
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics
Reference22 articles.
1. Balaban, T., Feldman, J., Knörrer, H., Trubowitz, E.: Complex bosonic many-body models: overview of the small field parabolic flow. Ann. Henri Poincaré 18, 2873–2903 (2017)
2. Boccato, C., Brennecke, C., Cenatiempo, S., Schlein, B.: Complete Bose–Einstein condensation in the Gross–Pitaevskii regime. Commun. Math. Phys. 359(3), 975–1026 (2018)
3. Boccato, C., Brennecke, C., Cenatiempo, S., Schlein, B.: Bogoliubov theory in the Gross–Pitaevskii limit. Acta Math. 222(2), 219–335 (2019)
4. Boccato, C., Brennecke, C., Cenatiempo, S., Schlein, B.: Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime. Commun. Math. Phys. (2019). https://doi.org/10.1007/s00220-019-03555-9. arXiv:1812.03086
5. Bogoliubov, N.N.: On the theory of superfluidity. Izv. Akad. Nauk. USSR 11 (1947), 77. Engl. Transl. J. Phys. (USSR) 11 (1947), 23
Cited by
29 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献