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Focusing dynamics of 2D Bose gases in the instability regime
By
Charlotte Dietze
Appears in collection : Emergent phenomena in many-body quantum systems / Phénomènes émergents des systèmes quantiques a plusieurs corps
We consider the dynamics of a 2D Bose gas with an interaction potential of the form $N^{2 \beta-1} w\left(N^\beta \cdot\right)$ 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 Schrödinger 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. This is joint work with Lea Bo\&mann and Phan Thành Nam.
Information about the video
Citation data
- DOI
10.24350/CIRM.V.20417803
- Cite this video
Dietze, Charlotte (08/12/2025). Focusing dynamics of 2D Bose gases in the instability regime.
CIRM.
Audiovisual resource. DOI: 10.24350/CIRM.V.20417803
- URL
https://dx.doi.org/10.24350/CIRM.V.20417803
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