One dimensional Bose–Einstein condensate under the effect of the extended uncertainty principle

In this study, an analytical investigation was conducted to assess the effects of the extended uncertainty principle (EUP) on a Bose–Einstein condensate (BEC) described by the deformed one-dimensional Gross–Pitaevskii equation (GPE). Analytical solutions were derived for null potential while we used...

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Published in:Physica scripta 2024-05, Vol.99 (5), p.55224
Main Authors: Benhadjira, Abderrahmane, Benkrane, Abdelhakim, Bentouila, Omar, Benzair, Hadjira, Aiadi, Kamal Eddine
Format: Article
Language:English
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BEC
bright soliton
dark soliton
extended uncertainty principle
GPE
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description In this study, an analytical investigation was conducted to assess the effects of the extended uncertainty principle (EUP) on a Bose–Einstein condensate (BEC) described by the deformed one-dimensional Gross–Pitaevskii equation (GPE). Analytical solutions were derived for null potential while we used variational and numerical methods for a harmonic oscillator potential. The effects of EUP on stability, probability density, position, and momentum uncertainties of BEC are analyzed. The EUP is found to be applicable for the free dark soliton solution and in the presence of a harmonic potential within specific ranges of the deformation parameter α , while it is not valid for the free bright soliton solution.
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subjects BEC
bright soliton
dark soliton
extended uncertainty principle
GPE
title One dimensional Bose–Einstein condensate under the effect of the extended uncertainty principle
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