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

• URL: http://arxiv.org/abs/2304.03083v2
• Date: Thu, 13 Apr 2023 12:48:14 GMT
• Title: Quantum resonances and analysis of the survival amplitude in the nonlinear Winter's model
• Authors: Andrea Sacchetti
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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