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Quantum Simulation

The quantum beating and its numerical simulation

arXiv
Authors: Raffaele Carlone, Rodolfo Figari, Claudia Negulescu

Year

2016

Paper ID

43187

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

We examine the suppression of quantum beating in a one dimensional non- linear double well potential, made up of two focusing nonlinear point interactions. The investigation of the Schrödinger dynamics is reduced to the study of a system of coupled nonlinear Volterra integral equations. For various values of the geometric and dynamical parameters of the model we give analytical and numerical results on the way states, which are initially confined in one well, evolve. We show that already for a nonlinearity exponent well below the critical value there is complete suppression of the typical beating behavior characterizing the linear quantum case.

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  • We examine the suppression of quantum beating in a one dimensional non- linear double well potential, made up of two focusing nonlinear point interactions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.00379 [2] arXiv https://arxiv.org/abs/1610.00379 [3] Publisher https://arxiv.org/abs/1610.00379

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