تقرير
Focusing dynamics of 2D Bose gases in the instability regime
| العنوان: | Focusing dynamics of 2D Bose gases in the instability regime |
|---|---|
| المؤلفون: | Boßmann, Lea, Dietze, Charlotte, Nam, Phan Thành |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Condensed Matter - Quantum Gases |
| الوصف: | We consider the dynamics of a 2D Bose gas with an interaction potential of the form $N^{2\beta-1}w(N^\beta\cdot)$ for $\beta\in (0,3/2)$. The interaction may be chosen to be negative and large, leading to the instability regime where the corresponding focusing cubic nonlinear Schr{\"o}dinger equation (NLS) may blow up in finite time. We show that to leading order, the $N$-body quantum dynamics can be effectively described by the NLS prior to the blow-up time. Moreover, we prove the validity of the Bogoliubov approximation, where the excitations from the condensate are captured in a norm approximation of the many-body dynamics. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.00956 |
| رقم الأكسشن: | edsarx.2307.00956 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |