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

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2025-01-29 DOI:10.1007/s00601-025-01985-x

Somia Miraoui, Abdelhakim Benkrane, Ahmed Hocine

引用次数: 0

Abstract

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 \(\alpha \) parameter 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 \(\alpha \) decreases the stability and self-localisation of the quantum droplets.

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用Von Roos方法研究位置相关有效质量对一维玻色-爱因斯坦凝聚的影响

本文通过重新定义动量算符，研究了受时空曲率影响的一维量子液滴，得到了与反德西特空间（AdS）一致的最大长度和最小动量。通过\(\alpha \)参数对自由量子液滴精确解的影响，我们发现原子数与化学势之间的关系不同于一般情况。此外，我们发现平顶形状可以在最大长度（最小动量）存在的情况下消失并转变为高斯形状。此外，我们发现量子液滴与时空曲率的相互作用使它们具有更大的尺寸。我们还通过高斯方差分析研究了这种影响对小液滴变分解的影响，我们得出\(\alpha \)降低了量子液滴的稳定性和自定域。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).