Solvable models of quantum beating
R. Carlone, R. Figari, C. Negulescu, L. Tentarelli
TL;DR
This paper reviews how nonlinear point interactions in a one-dimensional double well potential can completely suppress quantum beating, contrasting with the behavior observed in linear quantum systems.
Contribution
It introduces a model using nonlinear point interactions in a double well potential to demonstrate suppression of quantum beating, a novel approach in the study of nonlinear quantum dynamics.
Findings
Complete suppression of quantum beating in the nonlinear model
Demonstration of nonlinear effects on quantum tunneling phenomena
Comparison with linear quantum case showing distinct behavior
Abstract
We review some results about the suppression of quantum beating in a one dimensional nonlinear double well potential. We implement a single particle double well potential model, making use of nonlinear point interactions. We show that there is complete suppression of the typical beating phenomenon characterizing the linear quantum case.
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