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Correction to: Influence of Position-Dependent Effective Mass on One-Dimensional Bose-Einstein Condensates Using the Von Roos Approach

Authors:
Miraoui Somia at Hassiba Benbouali University of Chlef
Miraoui Somia
Abdelhakim Benkrane
Abdelhakim Benkrane
Abdelhakim Benkrane
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Hocine Ahmed at Hassiba Benbouali University of Chlef
Hocine Ahmed
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Few-Body Syst (2025) 66:19
https://doi.org/10.1007/s00601-025-01990-0
CORRECTION
Somia Miraoui ·Abdelhakim Benkrane ·Ahmed Hocine
Correction to: Influence of Position-Dependent Effective
Mass on One-Dimensional Bose-Einstein Condensates Using
the Von Roos Approach
© The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2025
Correction to: Few-Body Syst (2025) 66:12
https://doi.org/10.1007/s00601-025-01985-x
In the original version of this article, the abstract was incorrectly published. The old incorrect and the corrected
version of the abstract are given below.
The original article has been corrected.
Incorrect version:
In this paper, we study quantum droplets in one dimension under the influence of spacetime curvature by
redefining the momentum operator, resulting in a maximum length and a minimum momentum, consistent
with anti-de Sitter space (AdS). By examining this effect through the αparameter on the exact solution of
free quantum droplets, we found that the relationship between the number of atoms and the chemical potential
differs from the ordinary case. Additionally, we discovered that the flat-top shape can disappear and transform
into a Gaussian shape in the presence of the maximum length (minimum momentum). Moreover, we found that
the interaction of quantum droplets with spacetime curvature causes them to have a larger size. We also studied
this effect on the variational solution via Gaussian ansatz for small droplets, we concluded that αdecreases
the stability and self-localisation of the quantum droplets.
Corrected version:
This paper investigates the influence of position-dependent effective mass (PDM) on one-dimensional
Bose-Einstein condensates (BECs) using the Von Roos approach. Both variational and numerical methods
are employed to solve the underlying generalized discrete GrossPitaevskii equation. We derive analytical
expressions for the energy functional and chemical potential under both null potential and Gaussian potential
well, demonstrating the impact of PDM. Our analysis confirms that the selected expression for PDM diminishes
system stability and restricts the spatial range of atom distribution within the condensate.
S. Miraoui ·A. Hocine
Laboratory for Theoretical Physics and Material Physics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University
of Chlef, Ouled Fares, Algeria
E-mail: s.miraoui@univchlef.dz
A. Hocine
E-mail: ah.hocine@univ-chlef.dz
A. Benkrane (B
)
LRPPS Laboratory, University of Kasdi Merbah, 30000 Ouargla, Algeria
E-mail: abdelhakim.benkrane@univ-ouargla.dz
0123456789().: V,-vol
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