2-6 September 2019
Institut de Mathématiques de Bourgogne
Europe/Paris timezone

The quantum beating and its numerical simulation

3 Sep 2019, 11:00
45m
Amphi Gevrey ()

Amphi Gevrey

Speaker

Claudia Negulescu (Univ. Paul Sabatier)

Description

Quantum beating may nowadays refer to many, often quite different phenomena studied in various domains of quantum physics. A paradigmatic example is the inversion in the ammonia molecule, observed experimentally in 1935.
A theoretical explanation of the quantum beating was obtained by modelling the nitrogen atom as a quantum particle in a double well potential. The quantum environment of this particle can be modelled as a non-linear perturbation term added to the double well potential.

In this talk, I shall examine numerically the suppression of the quantum beating in a one dimensional non-linear double well potential, made up of two focusing nonlinear point interactions. The study of the Schroedinger dynamics is reduced to the study of a system of coupled nonlinear Volterra integral equations. I will show that already for a nonlinearity exponent well below the critical value, there is complete suppression of the typical beating behaviour characterizing the linear quantum case.

Primary author

Claudia Negulescu (Univ. Paul Sabatier)

Presentation Materials

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