  We are concerned with the multi-bubble blow-up solutions to rough nonlinear
Schr\"odinger equations in the focusing mass-critical case. In both dimensions
one and two, we construct the finite time multi-bubble solutions, which
concentrate at $K$ distinct points, $1\leq K<\infty$, and behave asymptotically
like a sum of pseudo-conformal blow-up solutions in the pseudo-conformal space
$\Sigma$ near the blow-up time. The upper bound of the asymptotic behavior is
closely related to the flatness of noise at blow-up points. Moreover, we prove
the conditional uniqueness of multi-bubble solutions in the case where the
asymptotic behavior in the energy space $H^1$ is of the order
$(T-t)^{3+\zeta}$, $\zeta>0$. These results are also obtained for nonlinear
Schr\"odinger equations with lower order perturbations, particularly, in the
absence of the classical pseudo-conformal symmetry and the conversation law of
energy. The existence results are applicable to the canonical deterministic
nonlinear Schr\"odinger equation and complement the previous work [43]. The
conditional uniqueness results are new in both the stochastic and deterministic
case.
