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In this paper we show that the typical effects of quantum resonances, namely,the exponential-type decay of the survival amplitude, continue to exist evenwhen a nonlinear perturbative term is added to the time-dependent Schroedingerequation. The difficulty in giving a rigorous and appropriate definition ofquantum resonances by means of the notions already used for linear equations isalso highlighted.

Quantum resonances and analysis of the survival amplitude in the nonlinear Winter's model