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This paper is a continuation of a previous paper by the same authors, wherean analytic smoothing effect was proved for long-range type perturbations ofthe Laplacian $H_0$ on $\re^n$. In this paper, we consider short-range typeperturbations $H$ of the Laplacian on $\re^n$, and we characterize the analyticwave front set of the solution to the Schr\"odinger equation:  $e^{-itH}f$, in terms of that of the free solution: $e^{-itH_0}f$, for $t<0$in the forward nontrapping region. The same result holds for $t>0$ in thebackward nontrapping region. This result is an analytic analogue of results byHassel and Wunsch and Nakamura.

Analytic wave front set for solutions to Schroedinger equation