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Journal Articles Journal of Mathematical Physics Year : 2021

Numerical investigation of solitary wave stability for quantum dissipative systems

Abstract

We consider a simple model describing the interaction of a quantum particle with a vibrational environment, which eventually acts as a friction on the particle. This equation admits soliton-like solutions, and we numerically investigate their stability when subjected to a small initial impulsion. Our findings illustrate the analogies with the behavior of classical particles and the relevance of asymptotic models.
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hal-03577474 , version 1 (16-02-2022)

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Thierry Goudon, Léo Vivion. Numerical investigation of solitary wave stability for quantum dissipative systems. Journal of Mathematical Physics, 2021, 62 (1), pp.011509. ⟨10.1063/5.0021246⟩. ⟨hal-03577474⟩
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