arXiv:2610.33212v1 Announce Type: new Abstract: We prove the propagation of Bose--Einstein condensation and a norm approximation for the dynamics of a Bose gas with localized initial data in two dimensions with singular interactions that may have a small attractive part. We allow the scaling of the interaction to be any polynomial scaling $N^\beta$ for $0<\beta<\infty$ and even exponential scaling $e^{N^\kappa}$ for $0<\kappa<1/4$. Our approach covers external potentials that are time-dependent, at most quadratic, and bounded below, including the situation without an external potential.
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