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Quantum resonances and analysis of the survival amplitude in the nonlinear Winter's model (2304.03083v2)
Published 6 Apr 2023 in math-ph, math.MP, and quant-ph
Abstract: In this paper we show that the typical effects of quantum resonances, namely, the exponential-type decay of the survival amplitude, continue to exist even when a nonlinear perturbative term is added to the time-dependent Schroedinger equation. The difficulty in giving a rigorous and appropriate definition of quantum resonances by means of the notions already used for linear equations is also highlighted.
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