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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年1月29日

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  • Somia Miraoui,
  • Abdelhakim Benkrane,
  • Ahmed Hocine

摘要

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.