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arXiv · 2304.03083

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

Andrea Sacchetti
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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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Andrea Sacchetti. 2023-04-06. Quantum resonances and analysis of the survival amplitude in the nonlinear Winter's model. https://arxiv.org/abs/2304.03083

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