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Thermodynamic Properties of a One-dimensional, Harmonically Trapped Bosonic (87Rb) Gas Mixture Using the Static Fluctuation Approximation

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Abstract

In this work, the static fluctuation approximation (SFA) is used to investigate the thermodynamic properties of a one-dimensional, harmonically trapped 87Rb–87Rb gas mixture in two different hyperfine states. The interatomic interaction is a repulsive contact potential with appropriate parameters. The closed set of coupled equations, which is a characteristic feature of SFA, is solved numerically by the Gaussian-quadrature method, using an iterative procedure. The following thermodynamic properties of the system are calculated: the chemical potential, condensate fraction, and specific heat capacity. The effects of the temperature and interaction strength [through the transverse frequency \({\omega }_{per }]\) on these properties are explored, so are the effects of the number of particles in the system N, trapping (longitudinal) frequency \(\omega\), and ratio of the numbers of atoms in the two hyperfine states. We have found that N, \(\omega\), and \({\omega }_{\mathrm{per}}\) affect tangibly these thermodynamic quantities at ‘low’ temperature.

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Authors and Affiliations

  1. Ministry of Education, Salt, Jordan

    Hyam Al-Khzon

  2. Department of Physics, Faculty of Science, The Hashemite University, Zarqa, 13115, Jordan

    Mohamed K. Al-Sugheir

  3. Applied Physics Department, Tafila Technical University, Tafila, Jordan

    Bassam Joudeh

  4. Department of Physics, School of Science, The University of Jordan, Amman, 11942, Jordan

    Humam B. Ghassib

Authors
  1. Hyam Al-Khzon
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  2. Mohamed K. Al-Sugheir
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  3. Bassam Joudeh
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  4. Humam B. Ghassib
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All authors collaborated very closely together at every stage of the work.

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Correspondence to Mohamed K. Al-Sugheir.

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Al-Khzon, H., Al-Sugheir, M.K., Joudeh, B. et al. Thermodynamic Properties of a One-dimensional, Harmonically Trapped Bosonic (87Rb) Gas Mixture Using the Static Fluctuation Approximation. J Low Temp Phys 214, 1–20 (2024). https://doi.org/10.1007/s10909-023-03007-8

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  • DOI: https://doi.org/10.1007/s10909-023-03007-8

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